Least Common Multiple of 71/517, 298/767, 498/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/517, 298/767, 498/836 quickly i.e. 5268342 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/517, 298/767, 498/836 is 5268342.

LCM(71/517, 298/767, 498/836) = 5268342

LCM of 71/517, 298/767, 498/836

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 71/517,298/767,498/836

Given numbers are 71/517,298/767,498/836

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 71,298,498

Least Common Multiple of Numerators i.e. LCM of 71,298,498 is 5268342.

GCF of Denominators means GCF of 517,767,836 as per the given fractions.

GCF of 517,767,836 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,298,498

LCM of Fractions 71/517,298/767,498/836 is 5268342

2 71, 298, 498
71, 149, 249

∴ So the LCM of the given numbers is 2 x 71 x 149 x 249 = 5268342

Least Common Multiple of 71,298,498 with GCF Formula

Least Common Multiple of 71,298,498 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 71,298,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,298,498) = 1

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

GCF(71,298,498) x common factors =1 x 2 = 2

LCM(71,298,498) = ( 71 × 298 × 498 ) / 2

LCM(71,298,498) = 10536684 / 2

LCM(71,298,498) = 5268342


Lets's calculate GCF of 517,767,836

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5268342/1

Therefore the LCM of Fractions 71/517,298/767,498/836 is 5268342

Greatest Common Factor of 517,767,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,767,836 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 517,767,836 . The biggest common factor number is the GCF number.
So the greatest common factor 517,767,836 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 71/517, 298/767, 498/836

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 71/517, 298/767, 498/836?

Answer: LCM of Numerators as per given numbers 71/517, 298/767, 498/836 is

LCM of Numerators i.e. for 71,298,498 is 5268342

GCF of denominators i.e. for 517,767,836 is 1.

Thus, LCM of Fractions is 5268342.Finally, LCM of Fractions for 71/517, 298/767, 498/836 is 5268342.