Least Common Multiple of 63, 75, 975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 63, 75, 975 i.e. 20475 smallest integer divisible by all numbers.

Least common multiple (LCM) of 63, 75, 975 is 20475.

LCM(63, 75, 975) = 20475

LCM of 63, 75, 975

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 63,75,975

Least Common Multiple (LCM) of 63,75,975 is 20475

3 63, 75, 975
5 21, 25, 325
5 21, 5, 65
21, 1, 13

∴ So the LCM of the given numbers is 3 x 5 x 5 x 21 x 1 x 13 = 20475

Least Common Multiple of 63,75,975 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 63,75,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,75,975) = 3

common factors(in case of two or more numbers have common factors) = 75

GCF(63,75,975) x common factors =3 x 75 = 225

LCM(63,75,975) = ( 63 × 75 × 975 ) / 225

LCM(63,75,975) = 4606875 / 225

LCM(63,75,975) = 20475

∴ Least Common Multiple of 63,75,975 is 20475

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 63, 75, 975

1. What is the LCM of 63, 75, 975?

Answer: LCM of 63, 75, 975 is 20475.

2. What are the Factors of 20475?

Answer: Factors of 20475 are . There are integers that are factors of 20475

3. How to Find the LCM of 63, 75, 975 ?

Least Common Multiple of 63, 75, 975.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(63, 75, 975) = 3 x 3 x 5 x 5 x 7 x 13 = 20475.