Least Common Multiple of 500/76, 2644/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/76, 2644/996 quickly i.e. 82625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/76, 2644/996 is 82625.

LCM(500/76, 2644/996) = 82625

LCM of 500/76, 2644/996

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 500/76,2644/996

Given numbers are 500/76,2644/996

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 500,2644

Least Common Multiple of Numerators i.e. LCM of 500,2644 is 330500.

GCF of Denominators means GCF of 76,996 as per the given fractions.

GCF of 76,996 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,2644

LCM of Fractions 500/76,2644/996 is 82625

2 500, 2644
2 250, 1322
125, 661

∴ So the LCM of the given numbers is 2 x 2 x 125 x 661 = 330500

Least Common Multiple of 500,2644 with GCF Formula

Least Common Multiple of 500,2644 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 500,2644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,2644) = 4

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

GCF(500,2644) x common factors =4 x 1 = 4

LCM(500,2644) = ( 500 × 2644 ) / 4

LCM(500,2644) = 1322000 / 4

LCM(500,2644) = 330500


Lets's calculate GCF of 76,996

2 76, 996
2 38, 498
19, 249

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330500/4

Therefore the LCM of Fractions 500/76,2644/996 is 82625

Greatest Common Factor of 76,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,996 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 76,996 . The biggest common factor number is the GCF number.
So the greatest common factor 76,996 is 4.


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 500/76, 2644/996

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 500/76, 2644/996?

Answer: LCM of Numerators as per given numbers 500/76, 2644/996 is

LCM of Numerators i.e. for 500,2644 is 330500

GCF of denominators i.e. for 76,996 is 4.

Thus, LCM of Fractions is 82625.Finally, LCM of Fractions for 500/76, 2644/996 is 82625.