# What Is The Least Common Multiple Of 5,6, And 7?

LCM of 5, 6 and 7 is

2 |5,6,7
3 |5,3,7
5 |5,1,7
7 |1,1,7
|1,1,1

now multiply 2,3,5 and 7 you will get

2x3x5x7 = 210

So 210 is the Least common multiple of 5,6 and 7

thanked the writer.
Ellie Hoe commented
You got it right. I divided the first row with 2 , if any number is not divisible then it is written as it is in the next line.
5,6,7 are the number; now try to find the number that will divide all three numbers. As you can see that only 6 is a number which has divisor "2" and "3" so I started of with smallest which is "2" you can go with 7, 5, 3 or 2. Its up to you.
I hope now its clear :)
Anonymous commented
I need help
Anonymous commented
Does this method work for all 3 way LCM eg 4,5,6
Hey what grade r you in I have the same problem in my math hmwk!!!

The answer is 210 because they r all prime numberz so you multiply them 2gether...

5x6=30
30x7=210

I hope it helped....
thanked the writer.
It is 210
thanked the writer.
210
thanked the writer.
210 dude :P
thanked the writer.
Prime factorization:

6 = 2 * 3

LCM = 2 * 3 * 5 * 7 = 210
thanked the writer.
210
thanked the writer.
It is 210 I think.
thanked the writer.