Question

using prime factorization method find the LCM of 12 15 24​

Answer 1

$\mathfrak{\huge\underline{Answer:}}$ ,

12 = 2 X 2 x 3

15 = 3 X 5

24 = 2x 2x 2 X 3

LCM = 2 X2 X 2x 3 x5

=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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