Least Common Multiple of 504, 756, 392

Q: How to Find the LCM of 504, 756, 392 ?

Least Common Multiple of 504, 756, 392 = 10584 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(504, 756, 392) = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 = 10584.

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 504, 756, 392 i.e. 10584 smallest integer divisible by all numbers.

Least common multiple (LCM) of 504, 756, 392 is 10584.

LCM(504, 756, 392) = 10584

LCM of 504, 756, 392

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

Least Common Multiple of 504, 756, 392 by common division method
Least Common Multiple of 504, 756, 392 with GCF Formula

Least Common Multiple of 504,756,392

Least Common Multiple (LCM) of 504,756,392 is 10584

2	504, 756, 392
2	252, 378, 196
2	126, 189, 98
3	63, 189, 49
3	21, 63, 49
7	7, 21, 49
	1, 3, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 7 x 1 x 3 x 7 = 10584

Least Common Multiple of 504,756,392 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 504,756,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,756,392) = 28

common factors(in case of two or more numbers have common factors) = 504

GCF(504,756,392) x common factors =28 x 504 = 14112

LCM(504,756,392) = ( 504 × 756 × 392 ) / 14112

LCM(504,756,392) = 149361408 / 14112

LCM(504,756,392) = 10584

∴ Least Common Multiple of 504,756,392 is 10584

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 504, 756, 392

1. What is the LCM of 504, 756, 392?

Answer: LCM of 504, 756, 392 is 10584.

2. What are the Factors of 10584?

Answer: Factors of 10584 are . There are integers that are factors of 10584

3. How to Find the LCM of 504, 756, 392 ?

Least Common Multiple of 504, 756, 392.

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(504, 756, 392) = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 = 10584.