Least Common Multiple of 504, 520, 418, 506, 308

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, 520, 418, 506, 308 i.e. 157477320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 504, 520, 418, 506, 308 is 157477320.

LCM(504, 520, 418, 506, 308) = 157477320

LCM of 504, 520, 418, 506, 308

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

LCM of:

Least Common Multiple of 504,520,418,506,308

Least Common Multiple (LCM) of 504,520,418,506,308 is 157477320

2 504, 520, 418, 506, 308
2 252, 260, 209, 253, 154
2 126, 130, 209, 253, 77
7 63, 65, 209, 253, 77
11 9, 65, 209, 253, 11
9, 65, 19, 23, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 11 x 9 x 65 x 19 x 23 x 1 = 157477320

Least Common Multiple of 504,520,418,506,308 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 504,520,418,506,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,520,418,506,308) = 2

common factors(in case of two or more numbers have common factors) = 54208

GCF(504,520,418,506,308) x common factors =2 x 54208 = 108416

LCM(504,520,418,506,308) = ( 504 × 520 × 418 × 506 × 308 ) / 108416

LCM(504,520,418,506,308) = 17073061125120 / 108416

LCM(504,520,418,506,308) = 157477320

∴ Least Common Multiple of 504,520,418,506,308 is 157477320

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 504, 520, 418, 506, 308

1. What is the LCM of 504, 520, 418, 506, 308?

Answer: LCM of 504, 520, 418, 506, 308 is 157477320.

2. What are the Factors of 157477320?

Answer: Factors of 157477320 are . There are integers that are factors of 157477320

3. How to Find the LCM of 504, 520, 418, 506, 308 ?

Least Common Multiple of 504, 520, 418, 506, 308.

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, 520, 418, 506, 308) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 13 x 19 x 23 = 157477320.