Question

What is the LCM of 240, 90 and 120


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Answer 1

Step-by-step explanation:

LCM of 240=2×2×2×2×3×5=240

90=2×3×3×5=90

120=2×2×2×3×5=120

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Answer 2

LCM of 240 , 90 and 120 is 720

Given :

The numbers 240 , 90 and 120

To find :

LCM of 240 , 90 and 120

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 240 , 90 and 120

Step 2 of 3 :

Prime factorise the numbers

240 = 2 × 2 × 2 × 2 × 3 × 5

90 = 2 × 3 × 3 × 5

120 = 2 × 2 × 2 × 3 × 5

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 × 3 × 5

= 720

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Learn more from Brainly :-

$1.$ If HCF of two numbers be 40 then which of the following cannot be their LCM.

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2. The HCF and LCM of two numbers are 17 & 1666 respectively. if one of the numbers is 119 find the other

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