Least Common Multiple of 60/615, 996/538, 722/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/615, 996/538, 722/351 quickly i.e. 1797780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/615, 996/538, 722/351 is 1797780.

LCM(60/615, 996/538, 722/351) = 1797780

LCM of 60/615, 996/538, 722/351

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 60/615,996/538,722/351

Given numbers are 60/615,996/538,722/351

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 60,996,722

Least Common Multiple of Numerators i.e. LCM of 60,996,722 is 1797780.

GCF of Denominators means GCF of 615,538,351 as per the given fractions.

GCF of 615,538,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,996,722

LCM of Fractions 60/615,996/538,722/351 is 1797780

2 60, 996, 722
2 30, 498, 361
3 15, 249, 361
5, 83, 361

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 83 x 361 = 1797780

Least Common Multiple of 60,996,722 with GCF Formula

Least Common Multiple of 60,996,722 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 60,996,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,996,722) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(60,996,722) x common factors =2 x 12 = 24

LCM(60,996,722) = ( 60 × 996 × 722 ) / 24

LCM(60,996,722) = 43146720 / 24

LCM(60,996,722) = 1797780


Lets's calculate GCF of 615,538,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1797780/1

Therefore the LCM of Fractions 60/615,996/538,722/351 is 1797780

Greatest Common Factor of 615,538,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,538,351 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 615,538,351 . The biggest common factor number is the GCF number.
So the greatest common factor 615,538,351 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 60/615, 996/538, 722/351

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 60/615, 996/538, 722/351?

Answer: LCM of Numerators as per given numbers 60/615, 996/538, 722/351 is

LCM of Numerators i.e. for 60,996,722 is 1797780

GCF of denominators i.e. for 615,538,351 is 1.

Thus, LCM of Fractions is 1797780.Finally, LCM of Fractions for 60/615, 996/538, 722/351 is 1797780.