Find the LCM of 102, 170 and 136.

Given :

The given numbers are 102, 170, 136.

To find :

We have to find the LCM of the given numbers.

Solution :

Prime factorisation of 102 is,

$102 = 2 \times 3 \times 17$

Prime factorisation of 170 is,

$170 = 2 \times 5 \times 17$

Prime factorisation of 136 is,

$136 = 2 \times 2 \times 2 \times 17$

Therefore,

LCM of 102, 170 and 136 is $3\times17\times5\times2\times2\times2 = 51\times 40 = 2040$.

Therefore, the LCM of 102, 170, 136 is 2040.

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Updated on: 10-Oct-2022

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