Question

Find the LCM of 60,75​

Answer 1

Answer:

300

Step-by-step explanation:

60=2*2*3*5

75=3*5*5

so lcm is=

3*5*2*2*5=300

Answer 2

Answer:

The lcm of  60 and 75​ is 300.

Step-by-step explanation:

Given: The numbers are 60 and 75​.

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  60 and 75​.

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

Prime Factorization of 60 is:

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

Prime Factorization of 75 is:

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

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 list is:

2, 2, 3, 5, 5

Multiplying these factors together to find the LCM:

$LCM = 2 \times 2 \times 3 \times 5\times 5 = 300$

Therefore,

LCM(60, 75) = 300