Least Common Multiple of 793/513, 311/161, 373/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 793/513, 311/161, 373/870 quickly i.e. 91990379 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 793/513, 311/161, 373/870 is 91990379.

LCM(793/513, 311/161, 373/870) = 91990379

LCM of 793/513, 311/161, 373/870

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 793/513,311/161,373/870

Given numbers are 793/513,311/161,373/870

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 793,311,373

Least Common Multiple of Numerators i.e. LCM of 793,311,373 is 91990379.

GCF of Denominators means GCF of 513,161,870 as per the given fractions.

GCF of 513,161,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 793,311,373

LCM of Fractions 793/513,311/161,373/870 is 91990379

Given numbers has no common factors except 1. So, there LCM is their product i.e 91990379

Least Common Multiple of 793,311,373 with GCF Formula

Least Common Multiple of 793,311,373 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 793,311,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(793,311,373) = 1

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

GCF(793,311,373) x common factors =1 x 1 = 1

LCM(793,311,373) = ( 793 × 311 × 373 ) / 1

LCM(793,311,373) = 91990379 / 1

LCM(793,311,373) = 91990379


Lets's calculate GCF of 513,161,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91990379/1

Therefore the LCM of Fractions 793/513,311/161,373/870 is 91990379

Greatest Common Factor of 513,161,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,161,870 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 513,161,870 . The biggest common factor number is the GCF number.
So the greatest common factor 513,161,870 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 793/513, 311/161, 373/870

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 793/513, 311/161, 373/870?

Answer: LCM of Numerators as per given numbers 793/513, 311/161, 373/870 is

LCM of Numerators i.e. for 793,311,373 is 91990379

GCF of denominators i.e. for 513,161,870 is 1.

Thus, LCM of Fractions is 91990379.Finally, LCM of Fractions for 793/513, 311/161, 373/870 is 91990379.