Least Common Multiple of 180/91, 721/3270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 180/91, 721/3270 quickly i.e. 129780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 180/91, 721/3270 is 129780.

LCM(180/91, 721/3270) = 129780

LCM of 180/91, 721/3270

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 180/91,721/3270

Given numbers are 180/91,721/3270

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 180,721

Least Common Multiple of Numerators i.e. LCM of 180,721 is 129780.

GCF of Denominators means GCF of 91,3270 as per the given fractions.

GCF of 91,3270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 180,721

LCM of Fractions 180/91,721/3270 is 129780

Given numbers has no common factors except 1. So, there LCM is their product i.e 129780

Least Common Multiple of 180,721 with GCF Formula

Least Common Multiple of 180,721 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 180,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,721) = 1

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

GCF(180,721) x common factors =1 x 1 = 1

LCM(180,721) = ( 180 × 721 ) / 1

LCM(180,721) = 129780 / 1

LCM(180,721) = 129780


Lets's calculate GCF of 91,3270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129780/1

Therefore the LCM of Fractions 180/91,721/3270 is 129780

Greatest Common Factor of 91,3270 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,3270 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 3270

List of positive integer factors of 3270 that divides 3270 without a remainder.

1,2,3,5,6,10,15,30,109,218,327,545,654,1090,1635,3270

Greatest Common Factor

We found the factors 91,3270 . The biggest common factor number is the GCF number.
So the greatest common factor 91,3270 is 1.


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Frequently Asked Questions on Fractional LCM of 180/91, 721/3270

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 180/91, 721/3270?

Answer: LCM of Numerators as per given numbers 180/91, 721/3270 is

LCM of Numerators i.e. for 180,721 is 129780

GCF of denominators i.e. for 91,3270 is 1.

Thus, LCM of Fractions is 129780.Finally, LCM of Fractions for 180/91, 721/3270 is 129780.