Least Common Multiple of 91/135, 31/874, 721/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/135, 31/874, 721/271 quickly i.e. 290563 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/135, 31/874, 721/271 is 290563.

LCM(91/135, 31/874, 721/271) = 290563

LCM of 91/135, 31/874, 721/271

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 91/135,31/874,721/271

Given numbers are 91/135,31/874,721/271

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 91,31,721

Least Common Multiple of Numerators i.e. LCM of 91,31,721 is 290563.

GCF of Denominators means GCF of 135,874,271 as per the given fractions.

GCF of 135,874,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,31,721

LCM of Fractions 91/135,31/874,721/271 is 290563

7 91, 31, 721
13, 31, 103

∴ So the LCM of the given numbers is 7 x 13 x 31 x 103 = 290563

Least Common Multiple of 91,31,721 with GCF Formula

Least Common Multiple of 91,31,721 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 91,31,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,31,721) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(91,31,721) x common factors =1 x 7 = 7

LCM(91,31,721) = ( 91 × 31 × 721 ) / 7

LCM(91,31,721) = 2033941 / 7

LCM(91,31,721) = 290563


Lets's calculate GCF of 135,874,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290563/1

Therefore the LCM of Fractions 91/135,31/874,721/271 is 290563

Greatest Common Factor of 135,874,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,874,271 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 135,874,271 . The biggest common factor number is the GCF number.
So the greatest common factor 135,874,271 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 91/135, 31/874, 721/271

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 91/135, 31/874, 721/271?

Answer: LCM of Numerators as per given numbers 91/135, 31/874, 721/271 is

LCM of Numerators i.e. for 91,31,721 is 290563

GCF of denominators i.e. for 135,874,271 is 1.

Thus, LCM of Fractions is 290563.Finally, LCM of Fractions for 91/135, 31/874, 721/271 is 290563.