LCM & HCF-5

 The largest number, which divides 25, 73 and 97 to leave the same remainder in each case, is 

• 21

• 6

• 24

• 23

If the least common multiple of two numbers, 1728 and K is 5184, then how many values of K are possible? 

• 6

• 7

• 11

• 8

The HCF of two numbers, each having three digits, is 17 and their LCM is 714. The sum of the numbers will be: 

• 221

• 731

• 289

• 391

If the product of three consecutive numbers is 210 then the sum of the smaller numbers is: 

• 5

• 11

• 3

• 4

Two numbers are in the ratio 3 : 4. Their L.C.M. is 84. The greater number is 

• 28

• 84

• 21

• 24

The number of pairs of positive integers whose sum is 99 and HCF is 9 is: 

• 3

• 4

• 5

• 2

The number of pairs of positive integers whose sum is 99 and HCF is 9 is: 

• 3

• 4

• 5

• 2

The least number, which is a perfect square and is divisible by each of the numbers 16, 20 and 24 is 

• 6400

• 14400

• 1600

• 3600

The greatest number that divides 411, 684, 821 and leaves 3, 4 and 5 as remainders, respectively, is 

• 136

• 204

• 254

• 146

The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is 

• 38

• 68

• 18

• 60