Least Common Multiple of 580/908, 280/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 580/908, 280/732 quickly i.e. 2030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 580/908, 280/732 is 2030.

LCM(580/908, 280/732) = 2030

LCM of 580/908, 280/732

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 580/908,280/732

Given numbers are 580/908,280/732

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 580,280

Least Common Multiple of Numerators i.e. LCM of 580,280 is 8120.

GCF of Denominators means GCF of 908,732 as per the given fractions.

GCF of 908,732 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 580,280

LCM of Fractions 580/908,280/732 is 2030

2 580, 280
2 290, 140
5 145, 70
29, 14

∴ So the LCM of the given numbers is 2 x 2 x 5 x 29 x 14 = 8120

Least Common Multiple of 580,280 with GCF Formula

Least Common Multiple of 580,280 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 580,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,280) = 20

common factors(in case of two or more numbers have common factors) = 1

GCF(580,280) x common factors =20 x 1 = 20

LCM(580,280) = ( 580 × 280 ) / 20

LCM(580,280) = 162400 / 20

LCM(580,280) = 8120


Lets's calculate GCF of 908,732

2 908, 732
2 454, 366
227, 183

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8120/4

Therefore the LCM of Fractions 580/908,280/732 is 2030

Greatest Common Factor of 908,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,732 By Matching Biggest Common Factor Method

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 908,732 . The biggest common factor number is the GCF number.
So the greatest common factor 908,732 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 580/908, 280/732

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 580/908, 280/732?

Answer: LCM of Numerators as per given numbers 580/908, 280/732 is

LCM of Numerators i.e. for 580,280 is 8120

GCF of denominators i.e. for 908,732 is 4.

Thus, LCM of Fractions is 2030.Finally, LCM of Fractions for 580/908, 280/732 is 2030.