Least Common Multiple

Front

When finding LCM you must write all the factors of each number?

Back

True

Front

Find the LCM of 8 and 10.

Back

40

Answer explanation

To find the LCM of 8 and 10, list the multiples: 8 (8, 16, 24, 32, 40...) and 10 (10, 20, 30, 40...). The smallest common multiple is 40. Thus, the LCM of 8 and 10 is 40.

Front

Find the LCM of 7 and 9.

Back

63

Answer explanation

To find the LCM of 7 and 9, we multiply them since they are coprime: 7 x 9 = 63. Therefore, the LCM of 7 and 9 is 63.

Front

What is the Least Common Multiple of 3 and 13?

Back

39

Answer explanation

The Least Common Multiple (LCM) of two numbers is the smallest number that is a multiple of both. For 3 and 13, the multiples are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39... The smallest common multiple is 39.

Front

What is the Least Common Multiple of 12 and 10?

Back

120

Answer explanation

To find the Least Common Multiple (LCM) of 12 and 10, we can list the multiples: 12 (12, 24, 36, 48, 60, 72, 84, 96, 108, 120) and 10 (10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120). The smallest common multiple is 120.

Front

Least Common Multiple of 6 and 10

Back

30

Answer explanation

To find the Least Common Multiple (LCM) of 6 and 10, list the multiples: 6 (6, 12, 18, 24, 30...) and 10 (10, 20, 30...). The smallest common multiple is 30, making it the correct answer.

Front

What is the Least Common Multiple of 3, 4, and 5?

Back

60

Answer explanation

To find the Least Common Multiple (LCM) of 3, 4, and 5, we determine the highest powers of each prime factor: 3 (3^1), 2 (2^2 from 4), and 5 (5^1). The LCM is 3 x 4 x 5 = 60, making 60 the correct answer.

Front

LCM(6, 7) =

Back

42

Answer explanation

To find the LCM of 6 and 7, we multiply them since they are coprime. LCM(6, 7) = 6 * 7 = 42. Thus, the correct answer is 42.

Front

First five multiples of 6:

Back

6, 12, 18, 24, 32

Answer explanation

The first five multiples of 6 are obtained by multiplying 6 by the integers 1 through 5: 6x1=6, 6x2=12, 6x3=18, 6x4=24, and 6x5=30. The correct choice is 6, 12, 18, 24, 30.

Front

The TOP of the fraction

Back

numerator

Answer explanation

In a fraction, the top part is called the numerator. It represents the number of parts we have, while the bottom part is the denominator, indicating the total number of equal parts. Therefore, the correct answer is numerator.