Question

if the lcm of 12 and 42 is 10 m + 4 ,then find the value of 10 m ?

Answer 1

First find the LCM of 12 and 42,

12 = 2 × 2 × 3
42 = 2 × 3 × 7

LCM (12,42) = 2 × 2 × 3 × 7 = 84

LCM of 12 and 42 is 10m + 4 (given)

10m + 4 = 84
10m = 84 - 4
→ 10m = 80 (required answer)

m = 80/10
m = 8

Therefore value of 10m = 80

Answer 2

Given:

Two numbers 12 and 42 whose LCM is 10 m + 4.

To find:

The value of 10 m.

Solution:

To find the value of 10 m, first of all, we need to find out the LCM of 12 and 42.

So,

Factors of 12 and 42 are:

12 = 2 × 2 × 3

42 = 2 × 3 × 7

So, LCM of 12 and 42 is 2 × 2 × 3 × 7 = 84.

Now,

As given, the lcm of 12 and 42 is 10 m + 4.

So, equating both values we have,

$10 \: m + 4 = 84$

$10 \: m = 80$

Hence, the value of 10 m is 80.