Least Common Multiple of 79/871, 726/103, 516/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/871, 726/103, 516/718 quickly i.e. 4932444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/871, 726/103, 516/718 is 4932444.

LCM(79/871, 726/103, 516/718) = 4932444

LCM of 79/871, 726/103, 516/718

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 79/871,726/103,516/718

Given numbers are 79/871,726/103,516/718

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 79,726,516

Least Common Multiple of Numerators i.e. LCM of 79,726,516 is 4932444.

GCF of Denominators means GCF of 871,103,718 as per the given fractions.

GCF of 871,103,718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,726,516

LCM of Fractions 79/871,726/103,516/718 is 4932444

2 79, 726, 516
3 79, 363, 258
79, 121, 86

∴ So the LCM of the given numbers is 2 x 3 x 79 x 121 x 86 = 4932444

Least Common Multiple of 79,726,516 with GCF Formula

Least Common Multiple of 79,726,516 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 79,726,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,726,516) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(79,726,516) x common factors =1 x 6 = 6

LCM(79,726,516) = ( 79 × 726 × 516 ) / 6

LCM(79,726,516) = 29594664 / 6

LCM(79,726,516) = 4932444


Lets's calculate GCF of 871,103,718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4932444/1

Therefore the LCM of Fractions 79/871,726/103,516/718 is 4932444

Greatest Common Factor of 871,103,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,103,718 By Matching Biggest Common Factor Method

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 871,103,718 . The biggest common factor number is the GCF number.
So the greatest common factor 871,103,718 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 79/871, 726/103, 516/718

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 79/871, 726/103, 516/718?

Answer: LCM of Numerators as per given numbers 79/871, 726/103, 516/718 is

LCM of Numerators i.e. for 79,726,516 is 4932444

GCF of denominators i.e. for 871,103,718 is 1.

Thus, LCM of Fractions is 4932444.Finally, LCM of Fractions for 79/871, 726/103, 516/718 is 4932444.