Least Common Multiple of 61/397, 759/556, 613/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/397, 759/556, 613/521 quickly i.e. 28381287 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/397, 759/556, 613/521 is 28381287.

LCM(61/397, 759/556, 613/521) = 28381287

LCM of 61/397, 759/556, 613/521

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 61/397,759/556,613/521

Given numbers are 61/397,759/556,613/521

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 61,759,613

Least Common Multiple of Numerators i.e. LCM of 61,759,613 is 28381287.

GCF of Denominators means GCF of 397,556,521 as per the given fractions.

GCF of 397,556,521 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,759,613

LCM of Fractions 61/397,759/556,613/521 is 28381287

Given numbers has no common factors except 1. So, there LCM is their product i.e 28381287

Least Common Multiple of 61,759,613 with GCF Formula

Least Common Multiple of 61,759,613 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 61,759,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,759,613) = 1

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

GCF(61,759,613) x common factors =1 x 1 = 1

LCM(61,759,613) = ( 61 × 759 × 613 ) / 1

LCM(61,759,613) = 28381287 / 1

LCM(61,759,613) = 28381287


Lets's calculate GCF of 397,556,521

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28381287/1

Therefore the LCM of Fractions 61/397,759/556,613/521 is 28381287

Greatest Common Factor of 397,556,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,556,521 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Greatest Common Factor

We found the factors 397,556,521 . The biggest common factor number is the GCF number.
So the greatest common factor 397,556,521 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 61/397, 759/556, 613/521

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 61/397, 759/556, 613/521?

Answer: LCM of Numerators as per given numbers 61/397, 759/556, 613/521 is

LCM of Numerators i.e. for 61,759,613 is 28381287

GCF of denominators i.e. for 397,556,521 is 1.

Thus, LCM of Fractions is 28381287.Finally, LCM of Fractions for 61/397, 759/556, 613/521 is 28381287.