Least Common Multiple of 508, 408, 578

Q: How to Find the LCM of 508, 408, 578 ?

Least Common Multiple of 508, 408, 578 = 880872 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(508, 408, 578) = 2 x 2 x 2 x 3 x 17 x 17 x 127 = 880872.

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 508, 408, 578 i.e. 880872 smallest integer divisible by all numbers.

Least common multiple (LCM) of 508, 408, 578 is 880872.

LCM(508, 408, 578) = 880872

LCM of 508, 408, 578

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

Least Common Multiple of 508, 408, 578 by common division method
Least Common Multiple of 508, 408, 578 with GCF Formula

Least Common Multiple of 508,408,578

Least Common Multiple (LCM) of 508,408,578 is 880872

2	508, 408, 578
2	254, 204, 289
17	127, 102, 289
	127, 6, 17

∴ So the LCM of the given numbers is 2 x 2 x 17 x 127 x 6 x 17 = 880872

Least Common Multiple of 508,408,578 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 508,408,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,408,578) = 2

common factors(in case of two or more numbers have common factors) = 68

GCF(508,408,578) x common factors =2 x 68 = 136

LCM(508,408,578) = ( 508 × 408 × 578 ) / 136

LCM(508,408,578) = 119798592 / 136

LCM(508,408,578) = 880872

∴ Least Common Multiple of 508,408,578 is 880872

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 508, 408, 578

1. What is the LCM of 508, 408, 578?

Answer: LCM of 508, 408, 578 is 880872.

2. What are the Factors of 880872?

Answer: Factors of 880872 are . There are integers that are factors of 880872

3. How to Find the LCM of 508, 408, 578 ?

Least Common Multiple of 508, 408, 578.

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(508, 408, 578) = 2 x 2 x 2 x 3 x 17 x 17 x 127 = 880872.