Question

find HCF and LCM of 12,15,24 by using prime factorization method








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Answer 1

Step-by-step explanation:

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Answer 2

LCM of 12 , 15 , 24 is 120

HCF of 12 , 15 , 24 is 3

Given :

The numbers 12 , 15 , 24

To find :

The LCM by prime factorization method

Concept :

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

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 4 :

Write down the given numbers

The given numbers are 12 , 15 , 24

Step 2 of 4 :

Prime factorise the given numbers

12 = 2 × 2 × 3

15 = 3 × 5

24 = 2 × 2 × 2 × 3

Step 3 of 4 :

Find the LCM

Hence the required LCM

= 2 × 2 × 2 × 3 × 5

= 120

Step 4 of 4 :

Find the HCF

The required HCF = 3

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