Least Common Multiple of 753, 984, 120, 240, 813

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 753, 984, 120, 240, 813 i.e. 669326640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 753, 984, 120, 240, 813 is 669326640.

LCM(753, 984, 120, 240, 813) = 669326640

LCM of 753, 984, 120, 240, 813

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

LCM of:

Least Common Multiple of 753,984,120,240,813

Least Common Multiple (LCM) of 753,984,120,240,813 is 669326640

2 753, 984, 120, 240, 813
2 753, 492, 60, 120, 813
2 753, 246, 30, 60, 813
3 753, 123, 15, 30, 813
5 251, 41, 5, 10, 271
251, 41, 1, 2, 271

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 251 x 41 x 1 x 2 x 271 = 669326640

Least Common Multiple of 753,984,120,240,813 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 753,984,120,240,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,984,120,240,813) = 3

common factors(in case of two or more numbers have common factors) = 8640

GCF(753,984,120,240,813) x common factors =3 x 8640 = 25920

LCM(753,984,120,240,813) = ( 753 × 984 × 120 × 240 × 813 ) / 25920

LCM(753,984,120,240,813) = 17348946508800 / 25920

LCM(753,984,120,240,813) = 669326640

∴ Least Common Multiple of 753,984,120,240,813 is 669326640

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 753, 984, 120, 240, 813

1. What is the LCM of 753, 984, 120, 240, 813?

Answer: LCM of 753, 984, 120, 240, 813 is 669326640.

2. What are the Factors of 669326640?

Answer: Factors of 669326640 are . There are integers that are factors of 669326640

3. How to Find the LCM of 753, 984, 120, 240, 813 ?

Least Common Multiple of 753, 984, 120, 240, 813.

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(753, 984, 120, 240, 813) = 2 x 2 x 2 x 2 x 3 x 5 x 41 x 251 x 271 = 669326640.