Least Common Multiple of 318/721, 811/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 318/721, 811/846 quickly i.e. 257898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/721, 811/846 is 257898.

LCM(318/721, 811/846) = 257898

LCM of 318/721, 811/846

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 318/721,811/846

Given numbers are 318/721,811/846

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 318,811

Least Common Multiple of Numerators i.e. LCM of 318,811 is 257898.

GCF of Denominators means GCF of 721,846 as per the given fractions.

GCF of 721,846 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,811

LCM of Fractions 318/721,811/846 is 257898

Given numbers has no common factors except 1. So, there LCM is their product i.e 257898

Least Common Multiple of 318,811 with GCF Formula

Least Common Multiple of 318,811 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 318,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,811) = 1

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

GCF(318,811) x common factors =1 x 1 = 1

LCM(318,811) = ( 318 × 811 ) / 1

LCM(318,811) = 257898 / 1

LCM(318,811) = 257898


Lets's calculate GCF of 721,846

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257898/1

Therefore the LCM of Fractions 318/721,811/846 is 257898

Greatest Common Factor of 721,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,846 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 721,846 . The biggest common factor number is the GCF number.
So the greatest common factor 721,846 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 318/721, 811/846

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 318/721, 811/846?

Answer: LCM of Numerators as per given numbers 318/721, 811/846 is

LCM of Numerators i.e. for 318,811 is 257898

GCF of denominators i.e. for 721,846 is 1.

Thus, LCM of Fractions is 257898.Finally, LCM of Fractions for 318/721, 811/846 is 257898.