Question

How do you know which of the common multiples is the least common
multiple?

Answer 1

look at explanation

Explanation:

FIND THE LCM (Least Common Multiple) BY LISTING MULTIPLES:

1. List the first several multiples of each number.

2. Look for multiples common to both lists. If there are no common multiples in the lists, write out additional multiples for each number.

3. Look for the smallest number that is common to both lists.

4. This number is the LCM

Answer 2

Step-by-step explanation: To find the least common multiple (LCM) of two or more numbers, you need to identify all of their common multiples, which are multiples that are shared by all of the numbers. Once you have identified the common multiples, the least common multiple is the smallest multiple that is shared by all of the numbers.

For example, to find the LCM of 4 and 6, you would list out their multiples:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60...

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60...

The common multiples are: 12, 24, 36, 48, 60...

Out of these common multiples, the least common multiple is 12, which is the smallest multiple that both 4 and 6 share.

So, to find the LCM, you need to identify all the common multiples and then choose the smallest one.