Question

What is the least common multiple of 6 and 10

Answer 1

LCM of 6 and 10?
Example of LCM:
LCM of 3 and 4
1. List the factors
3: 3, 6, 9, 12, 15, 18, 21,24,27, 30, 33, 36
4: 4, 8, 12, 16, 20, 24, 28, 32, 26, 40, 44, 48
2. Find common factors
12, 24
3. Find the least common factor
12

Now for this problem
6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72
10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 121, 120
Common Factors
30, 60
Least Common Factor= 30

Answer 2

`6=\fbox2\cdot3\\\\10=\fbox2\cdot5\\\\therefore\\\\LCM(6;\ 10)=\fbox2\cdot3\cdot5=\boxed{\boxed{30}}`