Question

If the L.C.M. of two numbers 36 x K, 24 is 360 then the value of K is​

Answer 1

Answer:

K=10

Step-by-step explanation:

when we multiply 36×10 we get 360 and when we do LCM of 360&24 we get answer as 360

Answer 2

Answer:

Required value of k is 5.

Step-by-step explanation:

Given two numbers are 36×K,24

We know LCM means Lowest Common Multiples.

By some examples we can understand the concept of LCM.

Example -1:

We are taking two numbers 15 and 20.

By prime factorisation,

$15 = 3 \times 5 \\ 20 = 2 \times 2 \times 5$

Therefore lowest common multiples of 15 and 20 is (3×2×2×5) = 60

So,LCM of 15 and 20 is 60.

Example -2:

We are taking two numbers 23 and 30.

By prime factorisation,

$23 = 23 \times 1 \\ 30 = 2 \times 3 \times 5$

Therefore lowest common multiple of 23 and 30 is (23×30) = 690

So,LCM of 23 and 30 is 690.

Here two numbers are 36×k,24

By prime factorisation,

$36 \times k = 2 \times 2 \times 3 \times 3 \times k \\ 24 = 2 \times 2 \times 3 \times 2$

LCM of (36×k) and 24 is (2×2×2×3×3×k) = 72k

According to question,

LCM of (36×k) and 24 is 360.

So,

$72k = 360 \\ k = \frac{360}{72} \\ k = 5$

Required value of k is 5.

Know more about LCM,

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