Least Common Multiple of 68/36, 82/78, 871/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/36, 82/78, 871/291 quickly i.e. 2428348/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/36, 82/78, 871/291 is 2428348/3.

LCM(68/36, 82/78, 871/291) = 2428348/3

LCM of 68/36, 82/78, 871/291

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 68/36,82/78,871/291

Given numbers are 68/36,82/78,871/291

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 68,82,871

Least Common Multiple of Numerators i.e. LCM of 68,82,871 is 2428348.

GCF of Denominators means GCF of 36,78,291 as per the given fractions.

GCF of 36,78,291 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,82,871

LCM of Fractions 68/36,82/78,871/291 is 2428348/3

2 68, 82, 871
34, 41, 871

∴ So the LCM of the given numbers is 2 x 34 x 41 x 871 = 2428348

Least Common Multiple of 68,82,871 with GCF Formula

Least Common Multiple of 68,82,871 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 68,82,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,82,871) = 1

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

GCF(68,82,871) x common factors =1 x 2 = 2

LCM(68,82,871) = ( 68 × 82 × 871 ) / 2

LCM(68,82,871) = 4856696 / 2

LCM(68,82,871) = 2428348


Lets's calculate GCF of 36,78,291

3 36, 78, 291
12, 26, 97

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2428348/3

Therefore the LCM of Fractions 68/36,82/78,871/291 is 2428348/3

Greatest Common Factor of 36,78,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,78,291 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 36,78,291 . The biggest common factor number is the GCF number.
So the greatest common factor 36,78,291 is 3.


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 68/36, 82/78, 871/291

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 68/36, 82/78, 871/291?

Answer: LCM of Numerators as per given numbers 68/36, 82/78, 871/291 is

LCM of Numerators i.e. for 68,82,871 is 2428348

GCF of denominators i.e. for 36,78,291 is 3.

Thus, LCM of Fractions is 2428348/3.Finally, LCM of Fractions for 68/36, 82/78, 871/291 is 2428348/3.