Question

find the LCM by prime factorisation method the number is 64,80,100

Answer 1

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Answer 2

LCM of 64 , 80 , 100 is 1600

Given :

The numbers 64 , 80 , 100

To find :

LCM by prime factorisation

Concept :

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

Solution :

Step 1 of 3 :

Write down the given numbers

The given numbers are 64 , 80 , 100

Step 2 of 3 :

Prime factorise the given numbers

64 = 2 × 2 × 2 × 2 × 2 × 2

80 = 2 × 2 × 2 × 2 × 5

100 = 2 × 2 × 5 × 5

Step 3 of 3 :

Find LCM

The required LCM

= 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5

= 1600

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