Least Common Multiple of 504, 264, 916, 408

Q: How to Find the LCM of 504, 264, 916, 408 ?

Least Common Multiple of 504, 264, 916, 408 = 21582792 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, 264, 916, 408) = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 17 x 229 = 21582792.

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, 264, 916, 408 i.e. 21582792 smallest integer divisible by all numbers.

Least common multiple (LCM) of 504, 264, 916, 408 is 21582792.

LCM(504, 264, 916, 408) = 21582792

LCM of 504, 264, 916, 408

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

Least Common Multiple of 504, 264, 916, 408 by common division method
Least Common Multiple of 504, 264, 916, 408 with GCF Formula

Least Common Multiple of 504,264,916,408

Least Common Multiple (LCM) of 504,264,916,408 is 21582792

2	504, 264, 916, 408
2	252, 132, 458, 204
2	126, 66, 229, 102
3	63, 33, 229, 51
	21, 11, 229, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 21 x 11 x 229 x 17 = 21582792

Least Common Multiple of 504,264,916,408 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 504,264,916,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,264,916,408) = 4

common factors(in case of two or more numbers have common factors) = 576

GCF(504,264,916,408) x common factors =4 x 576 = 2304

LCM(504,264,916,408) = ( 504 × 264 × 916 × 408 ) / 2304

LCM(504,264,916,408) = 49726752768 / 2304

LCM(504,264,916,408) = 21582792

∴ Least Common Multiple of 504,264,916,408 is 21582792

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 504, 264, 916, 408

1. What is the LCM of 504, 264, 916, 408?

Answer: LCM of 504, 264, 916, 408 is 21582792.

2. What are the Factors of 21582792?

Answer: Factors of 21582792 are . There are integers that are factors of 21582792

3. How to Find the LCM of 504, 264, 916, 408 ?

Least Common Multiple of 504, 264, 916, 408.

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, 264, 916, 408) = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 17 x 229 = 21582792.