Least Common Multiple of 79/165, 74/539, 822/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/165, 74/539, 822/374 quickly i.e. 2402706/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/165, 74/539, 822/374 is 2402706/11.

LCM(79/165, 74/539, 822/374) = 2402706/11

LCM of 79/165, 74/539, 822/374

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 79/165,74/539,822/374

Given numbers are 79/165,74/539,822/374

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 79,74,822

Least Common Multiple of Numerators i.e. LCM of 79,74,822 is 2402706.

GCF of Denominators means GCF of 165,539,374 as per the given fractions.

GCF of 165,539,374 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,74,822

LCM of Fractions 79/165,74/539,822/374 is 2402706/11

2 79, 74, 822
79, 37, 411

∴ So the LCM of the given numbers is 2 x 79 x 37 x 411 = 2402706

Least Common Multiple of 79,74,822 with GCF Formula

Least Common Multiple of 79,74,822 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 79,74,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,74,822) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(79,74,822) x common factors =1 x 2 = 2

LCM(79,74,822) = ( 79 × 74 × 822 ) / 2

LCM(79,74,822) = 4805412 / 2

LCM(79,74,822) = 2402706


Lets's calculate GCF of 165,539,374

11 165, 539, 374
15, 49, 34

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2402706/11

Therefore the LCM of Fractions 79/165,74/539,822/374 is 2402706/11

Greatest Common Factor of 165,539,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,539,374 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 165,539,374 . The biggest common factor number is the GCF number.
So the greatest common factor 165,539,374 is 11.


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 79/165, 74/539, 822/374

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 79/165, 74/539, 822/374?

Answer: LCM of Numerators as per given numbers 79/165, 74/539, 822/374 is

LCM of Numerators i.e. for 79,74,822 is 2402706

GCF of denominators i.e. for 165,539,374 is 11.

Thus, LCM of Fractions is 2402706/11.Finally, LCM of Fractions for 79/165, 74/539, 822/374 is 2402706/11.