Question

Find the LCM of 40, 56 and 88

Answer 1

${•°•lcm = 2 \times 2 \times 2 \times 5 \times 7 \times 11}$

$= 3080$

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Answer 2

LCM of 40 , 56 and 88 is 3080

Given :

The numbers 40 , 56 and 88

To find :

LCM of 40 , 56 and 88

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 40 , 56 and 88

Step 2 of 3 :

Prime factorise the numbers

40 = 2 × 2 × 2 × 5

56 = 2 × 2 × 2 × 7

88 = 2 × 2 × 2 × 11

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

= LCM of 40 , 56 and 88

= 2 × 2 × 2 × 5 × 7 × 11

= 3080

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