Could you plz elucidate as to WHEN to take out HCF and LCM, through perhaps a word problem??
The Brainliest Answer!

This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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 2(3)=3(2)=6

It is used not very commonly.

Word Problem: Sammy is playing on a Merry-Go-Round.  \frac{1}{3} the people behind him plus  \frac{3}{4} 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.

We know   \frac{1}{3} of the people behind him plus  \frac{3}{4} 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_{3,4} +1=w

LCM of 3 and 4 is 12.


So the total number of people on the merry go round =13

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: 1,2,4
Factors of 6: 1,2,3,6

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  \frac{12}{30}


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 \frac {12}{30}=\frac{2}{5}
Hope it helps.

2 5 2