Least Common Multiple of 236/291, 2718/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 236/291, 2718/871 quickly i.e. 320724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 236/291, 2718/871 is 320724.

LCM(236/291, 2718/871) = 320724

LCM of 236/291, 2718/871

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 236/291,2718/871

Given numbers are 236/291,2718/871

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 236,2718

Least Common Multiple of Numerators i.e. LCM of 236,2718 is 320724.

GCF of Denominators means GCF of 291,871 as per the given fractions.

GCF of 291,871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 236,2718

LCM of Fractions 236/291,2718/871 is 320724

2 236, 2718
118, 1359

∴ So the LCM of the given numbers is 2 x 118 x 1359 = 320724

Least Common Multiple of 236,2718 with GCF Formula

Least Common Multiple of 236,2718 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 236,2718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,2718) = 2

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

GCF(236,2718) x common factors =2 x 1 = 2

LCM(236,2718) = ( 236 × 2718 ) / 2

LCM(236,2718) = 641448 / 2

LCM(236,2718) = 320724


Lets's calculate GCF of 291,871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320724/1

Therefore the LCM of Fractions 236/291,2718/871 is 320724

Greatest Common Factor of 291,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,871 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 291,871 . The biggest common factor number is the GCF number.
So the greatest common factor 291,871 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 236/291, 2718/871

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 236/291, 2718/871?

Answer: LCM of Numerators as per given numbers 236/291, 2718/871 is

LCM of Numerators i.e. for 236,2718 is 320724

GCF of denominators i.e. for 291,871 is 1.

Thus, LCM of Fractions is 320724.Finally, LCM of Fractions for 236/291, 2718/871 is 320724.