# Could someone give examples for HCF and LCM. I'm unable to comprehend, when to take out HCF and when LCM. Please help, with difficult examples.

2
by abcxyz

2015-05-31T12:51:19+05:30
58,78
58=1.2.29
78=1.2.13.3
h.c.f=1.2.=2
l.cm=1.2.29.13.3=2262
Could you plz elucidate as to WHEN to take out HCF and LCM, through perhaps a word problem??
2015-05-31T14:49:30+05:30

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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?

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
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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