find the LCM of 12,15,24 by prime factorisation method
Answers
,
12 = 2 X 2 x 3
15 = 3 X 5
24 = 2x 2x 2 X 3
LCM = 2 X2 X 2x 3 x5
=120
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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