Question

Find the L.C.M. and H.C.F. of 6 and 20 by the prime factorisation method...

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Answer 1

Answer:

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Answer 2

Answer:

LCM(6, 20) = 60

HCF (6,20)= 2

Step-by-step explanation:

1. List all prime factors for each number.  

6 = 2 x 3  

20 = 2 x 2 x 5  =>  $2^{2}$×5

LCM

1. For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
2. Multiply these factors together to find the LCM.

LCM = 2 x 2 x 3 x 5 = 60  

∴ LCM(6, 20) = 60

HCF

1. Find the common prime factor.
2. Multiply the common factors.  

2 is the common factor here.

∴ HCF (6,20)= 2