Least Common Multiple of 500, 712, 505, 539, 400

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 500, 712, 505, 539, 400 i.e. 9690142000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 500, 712, 505, 539, 400 is 9690142000.

LCM(500, 712, 505, 539, 400) = 9690142000

LCM of 500, 712, 505, 539, 400

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

LCM of:

Least Common Multiple of 500,712,505,539,400

Least Common Multiple (LCM) of 500,712,505,539,400 is 9690142000

2 500, 712, 505, 539, 400
2 250, 356, 505, 539, 200
2 125, 178, 505, 539, 100
5 125, 89, 505, 539, 50
5 25, 89, 101, 539, 10
5, 89, 101, 539, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 5 x 5 x 89 x 101 x 539 x 2 = 9690142000

Least Common Multiple of 500,712,505,539,400 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 500,712,505,539,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,712,505,539,400) = 1

common factors(in case of two or more numbers have common factors) = 4000

GCF(500,712,505,539,400) x common factors =1 x 4000 = 4000

LCM(500,712,505,539,400) = ( 500 × 712 × 505 × 539 × 400 ) / 4000

LCM(500,712,505,539,400) = 38760568000000 / 4000

LCM(500,712,505,539,400) = 9690142000

∴ Least Common Multiple of 500,712,505,539,400 is 9690142000

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 500, 712, 505, 539, 400

1. What is the LCM of 500, 712, 505, 539, 400?

Answer: LCM of 500, 712, 505, 539, 400 is 9690142000.

2. What are the Factors of 9690142000?

Answer: Factors of 9690142000 are . There are integers that are factors of 9690142000

3. How to Find the LCM of 500, 712, 505, 539, 400 ?

Least Common Multiple of 500, 712, 505, 539, 400.

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(500, 712, 505, 539, 400) = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 7 x 7 x 11 x 89 x 101 = 9690142000.