Question

find the LCM of 112 168 266 by prime factorization method

Answer 1

LCM of 112 , 168 , 266 is 6384

Given :

The numbers 112 , 168 , 266

To find :

LCM of 112 , 168 , 266

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

Here the given numbers are 112 , 168 , 266

Step 2 of 3 :

Prime factorise the numbers

112 = 2 × 2 × 2 × 2 × 7

168 = 2 × 2 × 2 × 3 × 7

266 = 2 × 7 × 19

Step 3 of 3 :

Find the LCM

We know that for the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

Hence the required LCM

= 2 × 2 × 2 × 2 × 3 × 7 × 19

= 6384

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