Least Common Multiple of 723, 984, 252, 369, 457

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 723, 984, 252, 369, 457 i.e. 2275870968 smallest integer divisible by all numbers.

Least common multiple (LCM) of 723, 984, 252, 369, 457 is 2275870968.

LCM(723, 984, 252, 369, 457) = 2275870968

LCM of 723, 984, 252, 369, 457

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

LCM of:

Least Common Multiple of 723,984,252,369,457

Least Common Multiple (LCM) of 723,984,252,369,457 is 2275870968

2 723, 984, 252, 369, 457
2 723, 492, 126, 369, 457
3 723, 246, 63, 369, 457
3 241, 82, 21, 123, 457
41 241, 82, 7, 41, 457
241, 2, 7, 1, 457

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 41 x 241 x 2 x 7 x 1 x 457 = 2275870968

Least Common Multiple of 723,984,252,369,457 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 723,984,252,369,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,984,252,369,457) = 1

common factors(in case of two or more numbers have common factors) = 13284

GCF(723,984,252,369,457) x common factors =1 x 13284 = 13284

LCM(723,984,252,369,457) = ( 723 × 984 × 252 × 369 × 457 ) / 13284

LCM(723,984,252,369,457) = 30232669938912 / 13284

LCM(723,984,252,369,457) = 2275870968

∴ Least Common Multiple of 723,984,252,369,457 is 2275870968

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 723, 984, 252, 369, 457

1. What is the LCM of 723, 984, 252, 369, 457?

Answer: LCM of 723, 984, 252, 369, 457 is 2275870968.

2. What are the Factors of 2275870968?

Answer: Factors of 2275870968 are . There are integers that are factors of 2275870968

3. How to Find the LCM of 723, 984, 252, 369, 457 ?

Least Common Multiple of 723, 984, 252, 369, 457.

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(723, 984, 252, 369, 457) = 2 x 2 x 2 x 3 x 3 x 7 x 41 x 241 x 457 = 2275870968.