Least Common Multiple of 994/254, 2079/3096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 994/254, 2079/3096 quickly i.e. 147609 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 994/254, 2079/3096 is 147609.

LCM(994/254, 2079/3096) = 147609

LCM of 994/254, 2079/3096

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 994/254,2079/3096

Given numbers are 994/254,2079/3096

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 994,2079

Least Common Multiple of Numerators i.e. LCM of 994,2079 is 295218.

GCF of Denominators means GCF of 254,3096 as per the given fractions.

GCF of 254,3096 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 994,2079

LCM of Fractions 994/254,2079/3096 is 147609

7 994, 2079
142, 297

∴ So the LCM of the given numbers is 7 x 142 x 297 = 295218

Least Common Multiple of 994,2079 with GCF Formula

Least Common Multiple of 994,2079 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 994,2079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,2079) = 7

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

GCF(994,2079) x common factors =7 x 1 = 7

LCM(994,2079) = ( 994 × 2079 ) / 7

LCM(994,2079) = 2066526 / 7

LCM(994,2079) = 295218


Lets's calculate GCF of 254,3096

2 254, 3096
127, 1548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 295218/2

Therefore the LCM of Fractions 994/254,2079/3096 is 147609

Greatest Common Factor of 254,3096 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,3096 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 3096

List of positive integer factors of 3096 that divides 3096 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,43,72,86,129,172,258,344,387,516,774,1032,1548,3096

Greatest Common Factor

We found the factors 254,3096 . The biggest common factor number is the GCF number.
So the greatest common factor 254,3096 is 2.


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 994/254, 2079/3096

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 994/254, 2079/3096?

Answer: LCM of Numerators as per given numbers 994/254, 2079/3096 is

LCM of Numerators i.e. for 994,2079 is 295218

GCF of denominators i.e. for 254,3096 is 2.

Thus, LCM of Fractions is 147609.Finally, LCM of Fractions for 994/254, 2079/3096 is 147609.