Least Common Multiple of 313/861, 7454/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 313/861, 7454/820 quickly i.e. 2333102/41 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/861, 7454/820 is 2333102/41.

LCM(313/861, 7454/820) = 2333102/41

LCM of 313/861, 7454/820

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 313/861,7454/820

Given numbers are 313/861,7454/820

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 313,7454

Least Common Multiple of Numerators i.e. LCM of 313,7454 is 2333102.

GCF of Denominators means GCF of 861,820 as per the given fractions.

GCF of 861,820 is 41 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,7454

LCM of Fractions 313/861,7454/820 is 2333102/41

Given numbers has no common factors except 1. So, there LCM is their product i.e 2333102

Least Common Multiple of 313,7454 with GCF Formula

Least Common Multiple of 313,7454 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 313,7454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,7454) = 1

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

GCF(313,7454) x common factors =1 x 1 = 1

LCM(313,7454) = ( 313 × 7454 ) / 1

LCM(313,7454) = 2333102 / 1

LCM(313,7454) = 2333102


Lets's calculate GCF of 861,820

41 861, 820
21, 20

∴ So the GCF of the given numbers is 41 = 41

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2333102/41

Therefore the LCM of Fractions 313/861,7454/820 is 2333102/41

Greatest Common Factor of 861,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,820 By Matching Biggest Common Factor Method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 861,820 . The biggest common factor number is the GCF number.
So the greatest common factor 861,820 is 41.


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 313/861, 7454/820

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 313/861, 7454/820?

Answer: LCM of Numerators as per given numbers 313/861, 7454/820 is

LCM of Numerators i.e. for 313,7454 is 2333102

GCF of denominators i.e. for 861,820 is 41.

Thus, LCM of Fractions is 2333102/41.Finally, LCM of Fractions for 313/861, 7454/820 is 2333102/41.