Least Common Multiple of 79/245, 52/909, 812/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/245, 52/909, 812/981 quickly i.e. 833924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/245, 52/909, 812/981 is 833924.

LCM(79/245, 52/909, 812/981) = 833924

LCM of 79/245, 52/909, 812/981

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 79/245,52/909,812/981

Given numbers are 79/245,52/909,812/981

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 79,52,812

Least Common Multiple of Numerators i.e. LCM of 79,52,812 is 833924.

GCF of Denominators means GCF of 245,909,981 as per the given fractions.

GCF of 245,909,981 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,52,812

LCM of Fractions 79/245,52/909,812/981 is 833924

2 79, 52, 812
2 79, 26, 406
79, 13, 203

∴ So the LCM of the given numbers is 2 x 2 x 79 x 13 x 203 = 833924

Least Common Multiple of 79,52,812 with GCF Formula

Least Common Multiple of 79,52,812 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 79,52,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,52,812) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(79,52,812) x common factors =1 x 4 = 4

LCM(79,52,812) = ( 79 × 52 × 812 ) / 4

LCM(79,52,812) = 3335696 / 4

LCM(79,52,812) = 833924


Lets's calculate GCF of 245,909,981

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 833924/1

Therefore the LCM of Fractions 79/245,52/909,812/981 is 833924

Greatest Common Factor of 245,909,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,909,981 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 245,909,981 . The biggest common factor number is the GCF number.
So the greatest common factor 245,909,981 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 79/245, 52/909, 812/981

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 79/245, 52/909, 812/981?

Answer: LCM of Numerators as per given numbers 79/245, 52/909, 812/981 is

LCM of Numerators i.e. for 79,52,812 is 833924

GCF of denominators i.e. for 245,909,981 is 1.

Thus, LCM of Fractions is 833924.Finally, LCM of Fractions for 79/245, 52/909, 812/981 is 833924.