Least Common Multiple of 577/89, 582/2140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 577/89, 582/2140 quickly i.e. 335814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 577/89, 582/2140 is 335814.

LCM(577/89, 582/2140) = 335814

LCM of 577/89, 582/2140

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 577/89,582/2140

Given numbers are 577/89,582/2140

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 577,582

Least Common Multiple of Numerators i.e. LCM of 577,582 is 335814.

GCF of Denominators means GCF of 89,2140 as per the given fractions.

GCF of 89,2140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 577,582

LCM of Fractions 577/89,582/2140 is 335814

Given numbers has no common factors except 1. So, there LCM is their product i.e 335814

Least Common Multiple of 577,582 with GCF Formula

Least Common Multiple of 577,582 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 577,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,582) = 1

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

GCF(577,582) x common factors =1 x 1 = 1

LCM(577,582) = ( 577 × 582 ) / 1

LCM(577,582) = 335814 / 1

LCM(577,582) = 335814


Lets's calculate GCF of 89,2140

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 335814/1

Therefore the LCM of Fractions 577/89,582/2140 is 335814

Greatest Common Factor of 89,2140 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,2140 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 2140

List of positive integer factors of 2140 that divides 2140 without a remainder.

1,2,4,5,10,20,107,214,428,535,1070,2140

Greatest Common Factor

We found the factors 89,2140 . The biggest common factor number is the GCF number.
So the greatest common factor 89,2140 is 1.


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 577/89, 582/2140

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 577/89, 582/2140?

Answer: LCM of Numerators as per given numbers 577/89, 582/2140 is

LCM of Numerators i.e. for 577,582 is 335814

GCF of denominators i.e. for 89,2140 is 1.

Thus, LCM of Fractions is 335814.Finally, LCM of Fractions for 577/89, 582/2140 is 335814.