How do we understand when to find the HCF and when the LCM
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Avoid the term “TRICK” like the plague. It is misleading and is used by very many coaching institutes to lure gullible students to them. There is nothing called TRICK or SHORTCUT in mathematics.
Having said that, let us talk about the problem at hand. It is very easy if we know the meaning of LCM and HCF.
Least Common Multiple, also called LCM is that smallest number which is completely divisibleby a given set of numbers. For example, 30 is completely divisible by 5, 10 & 15 and hence is the LCM of 5,10 & 15. There is no number less than 30 that can boast the same.
So, whenever you are required to find a number that is divisible by more than one number, you have to find LCM.
Having said that, let us talk about the problem at hand. It is very easy if we know the meaning of LCM and HCF.
Least Common Multiple, also called LCM is that smallest number which is completely divisibleby a given set of numbers. For example, 30 is completely divisible by 5, 10 & 15 and hence is the LCM of 5,10 & 15. There is no number less than 30 that can boast the same.
So, whenever you are required to find a number that is divisible by more than one number, you have to find LCM.
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