LCM,HCF

LCM,HCF

by Aryan Raaj

Multiple Choice

Which number is a factor of 10

• 3

• 4

• 5

• 8

Multiple Choice

What does LCM stand for

• lowest common number

• lowest core number

• lowest core multiple

• lowest common multiple

Multiple Choice

Two milk tankers contain 450 litres and 600 litres of milk respectively. Find the maximum capacity of a container which can measure the milk of both the tankers when used an exact number of times.

• 150

• 100

• 5

• 25

Multiple Choice

List the first 5 multiples of 3

• 3, 6 10, 15, 20
• 1, 3
• 3, 6, 9, 12, 15
• 6, 9, 12, 15, 18

Multiple Choice

Find the least number which when divided by 12, 15, 18 and 20 leaves a remainder 5 in each case.

• 180

• 185

• 150

• 155

Multiple Choice

Wha does HCF stand for?

• Highest common factor

• Highest core frequency

• Highest common frequency

• Highest core factor

Multiple Choice

Find the smallest 4 digit number which is divisible by 18, 24 and 32.

• 1150

• 1152

• 205

• 100

Multiple Choice

A prime number is...

• a number that has only one factor.
• a number that has at least two factors.
• a number that has more than two factors.
• a number that has only two factors. (1 and itself)

Multiple Choice

In a morning walk, three girls step off together from the same spot. Their steps measure 66cm, 78cm and 90cm respectively. What is the minimum distance each should cover so that all can cover the distance in complete steps?

• 3000

• 3900

• 3960

• 3600

Multiple Choice

What are all the FACTORS of 24?

• 1, 2, 12, 24

• 1, 2, 8, 24

• 1, 2, 3, 4, 5, 6, 8, 12, 24

• 1, 2, 3, 4, 6, 8, 12, 24

Multiple Choice

A garden consists of 135 rose plants planted in certain number of columns. There are another set of 225 marigold plants which is to be planted in the same number of columns. What is the maximum number of columns in which they can be planted?

• 40

• 30

• 90

• 45

Multiple Choice

Which one is a multiple of 4?

• 33
• 22
• 18
• 24

Multiple Choice

Sophie checks her bike for repairs every 9 days and Susan check hers every 12 days. If they both check their bikes today, after how many days do they next both check their bike again?

• 3

• 36

• 60

Multiple Choice

List the first four multiples of 8.

• 1, 2, 4, 8

• 8, 16, 24, 32

• 16, 24, 32, 40

• 2, 4, 6, 8, 10

Multiple Choice

There are two loaf cakes. One is 35cm long and one is 21cm long. They want to cut the cake up and sell the slices, but all the slices must be equal. What is the largest slices that they can cut them into?

• 7

• 14

• 105

Multiple Choice

Joe has listed the first 4 multiples of 7 as:  7   14    22     28 Which one is incorrect?

• 7
• 14
• 22
• 28

Multiple Choice

A carpenter got given some free wooden planks. Some are 12m long and some are 18m long. She wants to cut them up so that she has equal size planks to make using them easier. What size planks should she cut them into to avoid wasting any wood?

• 6

• 36

• 2

• 48

Multiple Choice

What is 720 as a product of its prime factors?

• 2⁴ x 3² x 5

• 16 x 3³ x 5

• 2³ x 4² x 3

• 2⁶ x 7

Multiple Choice

Tom and Claire both like do short exercise that involve small breaks. Tom does a short burst of exercise every 2 minutes, and Claire does hers every 3 minutes. If they start doing their exercise at 9:00am, when do they both do their exercises again?

• 9:02

• 9:06

• 9:10

Multiple Choice

Find the HCF of 21 and 28

• 3
• 4
• 7
• 14

Multiple Choice

Ben exercises every 12 days and Isabel every 8 days. Ben and Isabel both exercised today. How many days will it be until they exercise together again?

• 4

• 6

• 12

• 24

Multiple Choice

Which number has a factor of 16?

• 258

• 112

• 596

• 452

Multiple Choice

Rosa is making a game board that is 16 inches by 24 inches. She wants to use square tiles. What is the larges tile she can ued?

• 8

• 16

• 24

• 48

Multiple Choice

What is the LCM of 4 and 12? 

• 4
• 8
• 12
• 16

Multiple Choice

2) Mrs. Evans has 120 crayons and 30 pieces of paper to give to her students. What is the largest number of students she can have in her class so that each student gets equal number of crayons and equal number of paper.

• 120 students

• 60 students

• 30 students

Multiple Choice

Find the HCF of 32 and 80.

• 8

• 16

• 24

• 32

Multiple Choice

Two bikers are riding a circular path. The first rider completes a round in 12 minutes. The second rider completes a round in 18 minutes. If they both started at the same place and time and go in the same direction, after how many minutes will they meet again at the starting point?

• 4 minutes

• 8 minutes

• 12 minutes

• 36 minutes

Multiple Choice

Find the HCF of 12 and 15 ?

• 2
• 2 x 3
• 3
• 60

Multiple Choice

Sean has 8-inch pieces of toy train track and Ruth has 18-inch pieces of train track. How many of each piece would each child need to build tracks that are equal in length?

• 9,4

• 8 and 12

• 6 and 8

Multiple Choice

What is the greatest common factor of 24 and 36?

• 2

• 3

• 12

• 24

Multiple Choice

An artist uses different types of paper to create her masterpieces. She has shiny metallic paper and pink glittery paper. The shiny paper comes in lengths of 24 inches and the glitter paper in lengths of 36 inches. She wants to make sure she can cut her paper into equal sizes but doesn’t want them to be too small. What’s the largest size she can cut them into without any waste?

• 12

• 72

• 240

Multiple Choice

Find the HCF of 40 and 60?

• 10
• 20
• 30
• None of the above

Multiple Choice

There are two positive integers, a and b. Given that their HCF is 15. Which of the followings cannot be their LCM?

• 105

• 225

• 125

• 195

Multiple Choice

What is the LCM of 6 and 8 ?

• 12
• 18
• 24
• 36

Multiple Choice

17 is a PRIME NUMBER because it has just ___ factors: ___ and ___.

• 2, 5, 7

• two, itself, 1

• 2, 15, 2

• 2, 8.5, 2

Multiple Choice

Find the HCF of 30 and 36

• 2
• 3
• 4
• 6

Multiple Choice

A number is expressed as

2³ x 3³ x 5.

What is the number?

• 11

• 72

• 270

• 1080

Multiple Choice

Which answer lists all the factors for 40?

• 1,2,4,5,8,12,14,40

• 1,2,3,4,5,8,10

• 1,2,4,5,8,10,20,40

• 1,2,4,5,6,7,8,9,10

Multiple Choice

Find the LCM of 120 and 150.

• 300

• 360

• 450

• 600

Multiple Choice

Which number is a multiple of 8? 

• 2
• 4
• 48
• 46

Multiple Choice

Ben exercises every 12 days and Isabel every 8 days. Ben and Isabel both exercised today. How many days will it be until they exercise together again?

• 4

• 6

• 12

• 24

Multiple Choice

What are the next three multiples? 6, 12, 18, ___ ,___ ,___

• 24, 30, 34

• 24, 36, 42

• 24, 30, 36

• 22, 28, 34

Multiple Choice

Rosa is making a game board that is 16 inches by 24 inches. She wants to use square tiles. What is the larges tile she can ued?

• 8

• 16

• 24

• 48

Multiple Choice

Which is a factor pair of 24?

• 2,12

• 3,5

• 7,6

• 8,5

Multiple Choice

2) Mrs. Evans has 120 crayons and 30 pieces of paper to give to her students. What is the largest number of students she can have in her class so that each student gets equal number of crayons and equal number of paper.

• 120 students

• 60 students

• 30 students

Multiple Choice

Which are factor pairs of 45?

• 1,45,5,9

• 1,3,7,9

• 5,7,8,9

• 7,9,5,2

Multiple Choice

Four bells ring after 9,12 and 15 minutes respectively.If they ring together at 3pm together, when will they ring together again?

• 4pm

• 5pm

• 6pm

• 7pm

Multiple Choice

2

• Prime

• Composite

Multiple Choice

Two bikers are riding a circular path. The first rider completes a round in 12 minutes. The second rider completes a round in 18 minutes. If they both started at the same place and time and go in the same direction, after how many minutes will they meet again at the starting point?

• 4 minutes

• 8 minutes

• 12 minutes

• 24 minutes

Multiple Choice

15

• Prime

• Composite

Multiple Choice

$$If\ N=2\times10^2$$  Find the smallest positive integer number M, such that MN is a Cube number

• 4

• 40

• 5

• 10

Multiple Choice

Multiples of 4

• 4,8,12,16,20

• 2,4,6,8

• 1,2

• 3,6,9

Multiple Choice

  

$$If\ N=4\times10^5$$  Find the smallest positive integer number M, such that MN is a Square number

• 2

• 10

• 3

• 5

Multiple Choice

The HCF of 168 and N is 42,

Given that 200< N >300, Find two possible values of N

• 210 , 294

• 210,252

• 220,290

• Non of the above