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LCM or Lowest Common Multiple is the smallest Integer that is as well as a multiple of the given Numbers.

Example: What is the LCM of 2 and 3? It is 6 because ==6

It is used not very commonly.

Word Problem: Sammy is playing on a Merry-Go-Round. the people behind him plus the people in front of him plus 1 equals the number of total people on the merry-go-round . How many people are there in the Merry-Go-Round?

Answer: There are 13 people on the Merry-Go-Round. Why? We know of the people behind him plus in front of him plus one is the total amount. You cannot make a portion of a person! So we know that the number of people ahead of him is a multiple of 4 and the number of people behind him is a multiple of 3. Find the LCM of 3 and 4.

LCM of 3 and 4 is 12.

So the total number of people on the merry go round ______________________________________________________

HCF or Highest Common Factor is the greatest integer which is also a factor of the given numbers.

For Example, find the HCF of 4 and 6.

Factors of 4: Factors of 6:

Find the common Factors. They are 1 and 2. 2 is bigger than 1, so the HCF of 4 and 6 is 2.

Word Problem:Simplify the fraction

Answer:

Why: We know that the HCF of 12 and 30 is 6. Now divide 12 and 30 by 6.

We will get 2 and 6. So ______________________________________________________ Hope it helps.