Least Common Multiple of 79/121, 133/680, 359/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/121, 133/680, 359/973 quickly i.e. 3772013 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/121, 133/680, 359/973 is 3772013.

LCM(79/121, 133/680, 359/973) = 3772013

LCM of 79/121, 133/680, 359/973

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 79/121,133/680,359/973

Given numbers are 79/121,133/680,359/973

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 79,133,359

Least Common Multiple of Numerators i.e. LCM of 79,133,359 is 3772013.

GCF of Denominators means GCF of 121,680,973 as per the given fractions.

GCF of 121,680,973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,133,359

LCM of Fractions 79/121,133/680,359/973 is 3772013

Given numbers has no common factors except 1. So, there LCM is their product i.e 3772013

Least Common Multiple of 79,133,359 with GCF Formula

Least Common Multiple of 79,133,359 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 79,133,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,133,359) = 1

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

GCF(79,133,359) x common factors =1 x 1 = 1

LCM(79,133,359) = ( 79 × 133 × 359 ) / 1

LCM(79,133,359) = 3772013 / 1

LCM(79,133,359) = 3772013


Lets's calculate GCF of 121,680,973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3772013/1

Therefore the LCM of Fractions 79/121,133/680,359/973 is 3772013

Greatest Common Factor of 121,680,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,680,973 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 121,680,973 . The biggest common factor number is the GCF number.
So the greatest common factor 121,680,973 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 79/121, 133/680, 359/973

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 79/121, 133/680, 359/973?

Answer: LCM of Numerators as per given numbers 79/121, 133/680, 359/973 is

LCM of Numerators i.e. for 79,133,359 is 3772013

GCF of denominators i.e. for 121,680,973 is 1.

Thus, LCM of Fractions is 3772013.Finally, LCM of Fractions for 79/121, 133/680, 359/973 is 3772013.