Least Common Multiple of 82/118, 7079/1398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 82/118, 7079/1398 quickly i.e. 290239 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/118, 7079/1398 is 290239.

LCM(82/118, 7079/1398) = 290239

LCM of 82/118, 7079/1398

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 82/118,7079/1398

Given numbers are 82/118,7079/1398

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 82,7079

Least Common Multiple of Numerators i.e. LCM of 82,7079 is 580478.

GCF of Denominators means GCF of 118,1398 as per the given fractions.

GCF of 118,1398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,7079

LCM of Fractions 82/118,7079/1398 is 290239

Given numbers has no common factors except 1. So, there LCM is their product i.e 580478

Least Common Multiple of 82,7079 with GCF Formula

Least Common Multiple of 82,7079 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 82,7079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,7079) = 1

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

GCF(82,7079) x common factors =1 x 1 = 1

LCM(82,7079) = ( 82 × 7079 ) / 1

LCM(82,7079) = 580478 / 1

LCM(82,7079) = 580478


Lets's calculate GCF of 118,1398

2 118, 1398
59, 699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 580478/2

Therefore the LCM of Fractions 82/118,7079/1398 is 290239

Greatest Common Factor of 118,1398 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,1398 By Matching Biggest Common Factor Method

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 1398

List of positive integer factors of 1398 that divides 1398 without a remainder.

1,2,3,6,233,466,699,1398

Greatest Common Factor

We found the factors 118,1398 . The biggest common factor number is the GCF number.
So the greatest common factor 118,1398 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 82/118, 7079/1398

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 82/118, 7079/1398?

Answer: LCM of Numerators as per given numbers 82/118, 7079/1398 is

LCM of Numerators i.e. for 82,7079 is 580478

GCF of denominators i.e. for 118,1398 is 2.

Thus, LCM of Fractions is 290239.Finally, LCM of Fractions for 82/118, 7079/1398 is 290239.