Least Common Multiple of 580, 552, 720

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 580, 552, 720 i.e. 480240 smallest integer divisible by all numbers.

Least common multiple (LCM) of 580, 552, 720 is 480240.

LCM(580, 552, 720) = 480240

LCM of 580, 552, 720

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

LCM of:

Least Common Multiple of 580,552,720

Least Common Multiple (LCM) of 580,552,720 is 480240

2 580, 552, 720
2 290, 276, 360
2 145, 138, 180
3 145, 69, 90
5 145, 23, 30
29, 23, 6

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 29 x 23 x 6 = 480240

Least Common Multiple of 580,552,720 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 580,552,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,552,720) = 4

common factors(in case of two or more numbers have common factors) = 120

GCF(580,552,720) x common factors =4 x 120 = 480

LCM(580,552,720) = ( 580 × 552 × 720 ) / 480

LCM(580,552,720) = 230515200 / 480

LCM(580,552,720) = 480240

∴ Least Common Multiple of 580,552,720 is 480240

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 580, 552, 720

1. What is the LCM of 580, 552, 720?

Answer: LCM of 580, 552, 720 is 480240.

2. What are the Factors of 480240?

Answer: Factors of 480240 are . There are integers that are factors of 480240

3. How to Find the LCM of 580, 552, 720 ?

Least Common Multiple of 580, 552, 720.

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(580, 552, 720) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23 x 29 = 480240.