Least Common Multiple of 975, 9648

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 975, 9648 i.e. 3135600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 975, 9648 is 3135600.

LCM(975, 9648) = 3135600

LCM of 975, 9648

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

LCM of:

Least Common Multiple of 975,9648

Least Common Multiple (LCM) of 975,9648 is 3135600

3 975, 9648
325, 3216

∴ So the LCM of the given numbers is 3 x 325 x 3216 = 3135600

Least Common Multiple of 975,9648 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 975,9648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,9648) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(975,9648) x common factors =3 x 1 = 3

LCM(975,9648) = ( 975 × 9648 ) / 3

LCM(975,9648) = 9406800 / 3

LCM(975,9648) = 3135600

∴ Least Common Multiple of 975,9648 is 3135600

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 975, 9648

1. What is the LCM of 975, 9648?

Answer: LCM of 975, 9648 is 3135600.

2. What are the Factors of 3135600?

Answer: Factors of 3135600 are . There are integers that are factors of 3135600

3. How to Find the LCM of 975, 9648 ?

Least Common Multiple of 975, 9648.

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(975, 9648) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 13 x 67 = 3135600.