Least Common Multiple of 577/61, 605/2140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 577/61, 605/2140 quickly i.e. 349085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 577/61, 605/2140 is 349085.

LCM(577/61, 605/2140) = 349085

LCM of 577/61, 605/2140

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 577/61,605/2140

Given numbers are 577/61,605/2140

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 577,605

Least Common Multiple of Numerators i.e. LCM of 577,605 is 349085.

GCF of Denominators means GCF of 61,2140 as per the given fractions.

GCF of 61,2140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 577,605

LCM of Fractions 577/61,605/2140 is 349085

Given numbers has no common factors except 1. So, there LCM is their product i.e 349085

Least Common Multiple of 577,605 with GCF Formula

Least Common Multiple of 577,605 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 577,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,605) = 1

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

GCF(577,605) x common factors =1 x 1 = 1

LCM(577,605) = ( 577 × 605 ) / 1

LCM(577,605) = 349085 / 1

LCM(577,605) = 349085


Lets's calculate GCF of 61,2140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 349085/1

Therefore the LCM of Fractions 577/61,605/2140 is 349085

Greatest Common Factor of 61,2140 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,2140 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

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 61,2140 . The biggest common factor number is the GCF number.
So the greatest common factor 61,2140 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 577/61, 605/2140

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 577/61, 605/2140?

Answer: LCM of Numerators as per given numbers 577/61, 605/2140 is

LCM of Numerators i.e. for 577,605 is 349085

GCF of denominators i.e. for 61,2140 is 1.

Thus, LCM of Fractions is 349085.Finally, LCM of Fractions for 577/61, 605/2140 is 349085.