Least Common Multiple of 82/77, 82/84, 26/50, 12/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/77, 82/84, 26/50, 12/119 quickly i.e. 6396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/77, 82/84, 26/50, 12/119 is 6396.

LCM(82/77, 82/84, 26/50, 12/119) = 6396

LCM of 82/77, 82/84, 26/50, 12/119

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 82/77,82/84,26/50,12/119

Given numbers are 82/77,82/84,26/50,12/119

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 82,82,26,12

Least Common Multiple of Numerators i.e. LCM of 82,82,26,12 is 6396.

GCF of Denominators means GCF of 77,84,50,119 as per the given fractions.

GCF of 77,84,50,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,82,26,12

LCM of Fractions 82/77,82/84,26/50,12/119 is 6396

2 82, 82, 26, 12
41 41, 41, 13, 6
1, 1, 13, 6

∴ So the LCM of the given numbers is 2 x 41 x 1 x 1 x 13 x 6 = 6396

Least Common Multiple of 82,82,26,12 with GCF Formula

Least Common Multiple of 82,82,26,12 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 82,82,26,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,82,26,12) = 2

common factors(in case of two or more numbers have common factors) = 164

GCF(82,82,26,12) x common factors =2 x 164 = 328

LCM(82,82,26,12) = ( 82 × 82 × 26 × 12 ) / 328

LCM(82,82,26,12) = 2097888 / 328

LCM(82,82,26,12) = 6396


Lets's calculate GCF of 77,84,50,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6396/1

Therefore the LCM of Fractions 82/77,82/84,26/50,12/119 is 6396

Greatest Common Factor of 77,84,50,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,84,50,119 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 77,84,50,119 . The biggest common factor number is the GCF number.
So the greatest common factor 77,84,50,119 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 82/77, 82/84, 26/50, 12/119

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 82/77, 82/84, 26/50, 12/119?

Answer: LCM of Numerators as per given numbers 82/77, 82/84, 26/50, 12/119 is

LCM of Numerators i.e. for 82,82,26,12 is 6396

GCF of denominators i.e. for 77,84,50,119 is 1.

Thus, LCM of Fractions is 6396.Finally, LCM of Fractions for 82/77, 82/84, 26/50, 12/119 is 6396.