What is the least common multiple of 16 12 and 9?

Answer 1

Answer: 144

The easiest way to solve this is to take two sets of numbers at a time. First, find the LCM of 12 and 16 (48), and then the LCM of 48 and 9 (144).

But how to find the LCM of two numbers? The easiest method is to use prime factorization.

12 = 2 x 2 x 3

16 = 2 x 2 x 2 x 2

2 and another 2 can be found in both sets of numbers, so cross it out of one set. Now multiply the remaining numbers, and you will get 48.

48 = 2 x 2 x 2 x 2 x 3

9 = 3 x 3

3 can be found in both factorizations, so cross it out of one set. Multiply the remaining factors and you get 144

Answer 2

One way to determine the least common multiple of three or more numbers is to find the least common multiple of two numbers at a time, reducing the quantity of numbers you are working with, until you are down to the final two numbers. The least common multiple of two numbers is the product of the two numbers divided by their greatest common factor.

The greatest common factor of 9 and 12 is 3, so their least common multiple is 9 x 12 divided by 3 = 36. Now, we have simplified the problem to determining the least common multiple of 16 and 36. The greatest common factor of 16 and 36 is 4, so the least common multiple is 16 x 36 divided by 4 = 144.

Therefore, the least common multiple of 9, 12, and 16 is 144.

The LCM of 912 and 16 is 912.

The LCM of 9, 12 and 16 is 144.

Answer 3

The least common multiple (LCM) of 912 and 16 is 912.

Answer 4

LCM of 9 12 and 16 is 144.

Answer 5

144

Answer 6

It is: 144