Least Common Multiple of 291/31, 8841/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 291/31, 8841/403 quickly i.e. 857577/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/31, 8841/403 is 857577/31.

LCM(291/31, 8841/403) = 857577/31

LCM of 291/31, 8841/403

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 291/31,8841/403

Given numbers are 291/31,8841/403

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 291,8841

Least Common Multiple of Numerators i.e. LCM of 291,8841 is 857577.

GCF of Denominators means GCF of 31,403 as per the given fractions.

GCF of 31,403 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,8841

LCM of Fractions 291/31,8841/403 is 857577/31

3 291, 8841
97, 2947

∴ So the LCM of the given numbers is 3 x 97 x 2947 = 857577

Least Common Multiple of 291,8841 with GCF Formula

Least Common Multiple of 291,8841 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 291,8841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,8841) = 3

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

GCF(291,8841) x common factors =3 x 1 = 3

LCM(291,8841) = ( 291 × 8841 ) / 3

LCM(291,8841) = 2572731 / 3

LCM(291,8841) = 857577


Lets's calculate GCF of 31,403

31 31, 403
1, 13

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 857577/31

Therefore the LCM of Fractions 291/31,8841/403 is 857577/31

Greatest Common Factor of 31,403 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,403 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Greatest Common Factor

We found the factors 31,403 . The biggest common factor number is the GCF number.
So the greatest common factor 31,403 is 31.


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 291/31, 8841/403

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 291/31, 8841/403?

Answer: LCM of Numerators as per given numbers 291/31, 8841/403 is

LCM of Numerators i.e. for 291,8841 is 857577

GCF of denominators i.e. for 31,403 is 31.

Thus, LCM of Fractions is 857577/31.Finally, LCM of Fractions for 291/31, 8841/403 is 857577/31.