Least Common Multiple of 508, 578, 508, 840

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, 578, 508, 840 i.e. 30830520 smallest integer divisible by all numbers.

Least common multiple (LCM) of 508, 578, 508, 840 is 30830520.

LCM(508, 578, 508, 840) = 30830520

LCM of 508, 578, 508, 840

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

LCM of:

Least Common Multiple of 508,578,508,840

Least Common Multiple (LCM) of 508,578,508,840 is 30830520

2 508, 578, 508, 840
2 254, 289, 254, 420
127 127, 289, 127, 210
1, 289, 1, 210

∴ So the LCM of the given numbers is 2 x 2 x 127 x 1 x 289 x 1 x 210 = 30830520

Least Common Multiple of 508,578,508,840 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 508,578,508,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,578,508,840) = 2

common factors(in case of two or more numbers have common factors) = 2032

GCF(508,578,508,840) x common factors =2 x 2032 = 4064

LCM(508,578,508,840) = ( 508 × 578 × 508 × 840 ) / 4064

LCM(508,578,508,840) = 125295233280 / 4064

LCM(508,578,508,840) = 30830520

∴ Least Common Multiple of 508,578,508,840 is 30830520

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 508, 578, 508, 840

1. What is the LCM of 508, 578, 508, 840?

Answer: LCM of 508, 578, 508, 840 is 30830520.

2. What are the Factors of 30830520?

Answer: Factors of 30830520 are . There are integers that are factors of 30830520

3. How to Find the LCM of 508, 578, 508, 840 ?

Least Common Multiple of 508, 578, 508, 840.

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, 578, 508, 840) = 2 x 2 x 2 x 3 x 5 x 7 x 17 x 17 x 127 = 30830520.