Question

write the first 12 multiples of each number. circle the common multiples. then fill in the blanks. 17. 4: _, 8, 12, _ 6: _, 12, 18, _ l.c.m. of 4 and 6: _ the first 4 common multiples of 4 and 6: _

Explanation:

Step1: Find multiples of 4

Multiply 4 by 1, 2, 3, etc. The first 12 multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48.

Step2: Find multiples of 6

Multiply 6 by 1, 2, 3, etc. The first 12 multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72.

Step3: Identify common multiples

The common multiples of 4 and 6 are the numbers that appear in both lists. They are 12, 24, 36, 48.

Step4: Find LCM

The least - common multiple (LCM) is the smallest of the common multiples. The LCM of 4 and 6 is 12.

Answer:

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48
6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72
L.C.M. of 4 and 6: 12
The first 4 common multiples of 4 and 6: 12, 24, 36, 48