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Explain HCF and LCM.
Solution:
LCM is Least Common Multiple.
To find LCM, do the following steps
i) Write multiples of of given numbers
ii) See the multiples which are common
iii) The Least one among the multiples is LCM
Lets see an example,
LCM of 4 and 6
Multiples of 4 - 4 , 8 , 12 , 16 , 20 , 24 , 28 , 32, 36 ...
Multiples of 6 - 6 , 12 , 18 , 24 , 30 , 36 ...
LCM of 4 and 6 is 12.
HCF is Highest Common Factor.
To find HCF, do the following steps,
i) Write all the factors of given numbers
ii) See the factors which are common
iii) Choose the Highest Factor, that is HCF.
Lets see an example,
HCF of 6 and 12
Factors of 6 - 1 , 2 , 3 , 6
Factors of 12 - 1 , 2 , 3 , 4 , 6 , 12
HCF of 6 , 12 is 6
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