Question

LCM of 12,15,24 using prime factorisation method

Answer 1

Answer:

The lcm of 12,15,24 is 120.

Answer 2

LCM of 12 , 15 , 24 is 120

Given :

The numbers 12 , 15 , 24

To find :

The LCM by prime factorization method

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 12 , 15 , 24

Step 2 of 3 :

Prime factorise the given numbers

12 = 2 × 2 × 3

15 = 3 × 5

24 = 2 × 2 × 2 × 3

Step 3 of 3 :

Find the LCM

Hence the required LCM

= 2 × 2 × 2 × 3 × 5

= 120

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