Question

find the LCM of15,60​

Answer 1

2=15,60

2=15,30

15=15,15

= 1,1

Lcm of 15,60=2×2×15=60

Lcm of 15,60 is 60

Answer 2

Answer:

The lcm of 15 and 60 is 60.

Step-by-step explanation:

Given: The numbers are 15 and 60.

We have to find the lcm of the above numbers.

• As we know, the lcm is the least number, which is exactly divisible, by two or more numbers.

We are solving in the following way:

We have,

The numbers are 15 and 60.

First, we will find all prime factors for each number.

Prime Factorization of 15 is:

$3 \times 5 => 3^1 \times 5^1$

Prime Factorization of 60 is:

$2 \times 2 \times 3 \times 5 => 2^2 \times 3^1 \times 5^1$

For each prime factor, we will find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is:

2, 2, 3, 5

Multiplying these factors together to find the LCM:

$LCM = 2 \times 2 \times 3 \times 5 = 60$

Therefore,

LCM(15, 60) = 60