Least Common Multiple of 723, 504, 756

Q: How to Find the LCM of 723, 504, 756 ?

Least Common Multiple of 723, 504, 756 = 364392 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, 504, 756) = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 241 = 364392.

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, 504, 756 i.e. 364392 smallest integer divisible by all numbers.

Least common multiple (LCM) of 723, 504, 756 is 364392.

LCM(723, 504, 756) = 364392

LCM of 723, 504, 756

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

Least Common Multiple of 723, 504, 756 by common division method
Least Common Multiple of 723, 504, 756 with GCF Formula

Least Common Multiple of 723,504,756

Least Common Multiple (LCM) of 723,504,756 is 364392

2	723, 504, 756
2	723, 252, 378
3	723, 126, 189
3	241, 42, 63
7	241, 14, 21
	241, 2, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 241 x 2 x 3 = 364392

Least Common Multiple of 723,504,756 with GCF Formula

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

We need to calculate greatest common factor of 723,504,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,504,756) = 3

common factors(in case of two or more numbers have common factors) = 252

GCF(723,504,756) x common factors =3 x 252 = 756

LCM(723,504,756) = ( 723 × 504 × 756 ) / 756

LCM(723,504,756) = 275480352 / 756

LCM(723,504,756) = 364392

∴ Least Common Multiple of 723,504,756 is 364392

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 723, 504, 756

1. What is the LCM of 723, 504, 756?

Answer: LCM of 723, 504, 756 is 364392.

2. What are the Factors of 364392?

Answer: Factors of 364392 are . There are integers that are factors of 364392

3. How to Find the LCM of 723, 504, 756 ?

Least Common Multiple of 723, 504, 756.

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, 504, 756) = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 241 = 364392.