Question

1. LCM by division method.
102,170,136​

Answer 1

Answer:

Step-by-step explanation:

Solution:

Given that,

We have to find the LCM of 102, 170 and 136

FIND LCM OF 102, 170 AND 136

Divide the numbers 102, 170 and 136 by prime numbers

2 102 136 170

2 51 68 85

2 51 34 85

3 51 17 85

5 17 17 85

17 17 17 17

      1 1 1

Find the product of the prime numbers in the first column to get the LCM:

LCM = 2 x 2 x 2 x 3 x 5 x 17

LCM = 2040

Thus the LCM of 102, 170 and 136 is 2040

Answer 2

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=2×3×17

Prime factorisation of 170 is,

170=2×5×1

Prime factorisation of 136 is,

136=2×2×2×17

Therefore,

LCM of 102, 170 and 136

is 3×17×5×2×2×2=51×40=2040.

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