Week 1 – Math 10

I never knew what LCM (Least common multiple) was until not long ago when i found out what it is and how to do it. I get very confused with LCM and GCF (Greatest Common Factor) and i would get them both mixed up. LCM is the lowest multiple that the two numbers or more can multiply into together. For example, to determine the lowest common multiple of 10, 12 and 14, i would have to find the prime factors of each number, take all the prime factors of one of the numbers and multiply by any additional factors in the other numbers

10 = 2 x 5

12 = 2 x 2 x 3

14 = 2 x 7

Take 2 and 5 from 10

take 2 and 3 from 12

and 7 from 14

You then have to multiply then altogether and that will determine the LCM of 10, 12 and 14

2 x 5 x 2 x 3 x 7 = 420

The Least common multiple of 10, 12 and 14 is 420.

I used to get confused and multiply all the factors together but that is not the case, i have to multiply the prime factors