Question

The LCM of two numbers 36 multiplies to k,24 is 360 then the value of k is

Answer 1

Answer:

The value of k is 5

Step-by-step explanation:

Two numbers are 36k and 24

Factors of 36k = 2 × 2 × 3 × 3 × k

Factors of 24 = 2 × 2 × 2 × 3

LCM of 36k and 24 = 2 × 2 × 2 × 3 × 3 × k

We have LCM = 360

Thus, we get

$2 \times 2 \times 2 \times 3 \times 3 \times k = 360\\\\ 72k = 360\\\\k = \frac{360}{72}\\\\ k = 5$

Thus, value of k is 5