Least Common Multiple of 55/76, 82/54, 82/72, 860/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/76, 82/54, 82/72, 860/13 quickly i.e. 387860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/76, 82/54, 82/72, 860/13 is 387860.

LCM(55/76, 82/54, 82/72, 860/13) = 387860

LCM of 55/76, 82/54, 82/72, 860/13

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 55/76,82/54,82/72,860/13

Given numbers are 55/76,82/54,82/72,860/13

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 55,82,82,860

Least Common Multiple of Numerators i.e. LCM of 55,82,82,860 is 387860.

GCF of Denominators means GCF of 76,54,72,13 as per the given fractions.

GCF of 76,54,72,13 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,82,82,860

LCM of Fractions 55/76,82/54,82/72,860/13 is 387860

2 55, 82, 82, 860
5 55, 41, 41, 430
41 11, 41, 41, 86
11, 1, 1, 86

∴ So the LCM of the given numbers is 2 x 5 x 41 x 11 x 1 x 1 x 86 = 387860

Least Common Multiple of 55,82,82,860 with GCF Formula

Least Common Multiple of 55,82,82,860 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 55,82,82,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,82,82,860) = 1

common factors(in case of two or more numbers have common factors) = 820

GCF(55,82,82,860) x common factors =1 x 820 = 820

LCM(55,82,82,860) = ( 55 × 82 × 82 × 860 ) / 820

LCM(55,82,82,860) = 318045200 / 820

LCM(55,82,82,860) = 387860


Lets's calculate GCF of 76,54,72,13

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387860/1

Therefore the LCM of Fractions 55/76,82/54,82/72,860/13 is 387860

Greatest Common Factor of 76,54,72,13 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,54,72,13 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 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Greatest Common Factor

We found the factors 76,54,72,13 . The biggest common factor number is the GCF number.
So the greatest common factor 76,54,72,13 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 55/76, 82/54, 82/72, 860/13

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 55/76, 82/54, 82/72, 860/13?

Answer: LCM of Numerators as per given numbers 55/76, 82/54, 82/72, 860/13 is

LCM of Numerators i.e. for 55,82,82,860 is 387860

GCF of denominators i.e. for 76,54,72,13 is 1.

Thus, LCM of Fractions is 387860.Finally, LCM of Fractions for 55/76, 82/54, 82/72, 860/13 is 387860.