Least Common Multiple of 67/82, 31/40, 56/86

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/82, 31/40, 56/86 quickly i.e. 58156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/82, 31/40, 56/86 is 58156.

LCM(67/82, 31/40, 56/86) = 58156

LCM of 67/82, 31/40, 56/86

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 67/82,31/40,56/86

Given numbers are 67/82,31/40,56/86

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 67,31,56

Least Common Multiple of Numerators i.e. LCM of 67,31,56 is 116312.

GCF of Denominators means GCF of 82,40,86 as per the given fractions.

GCF of 82,40,86 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,31,56

LCM of Fractions 67/82,31/40,56/86 is 58156

Given numbers has no common factors except 1. So, there LCM is their product i.e 116312

Least Common Multiple of 67,31,56 with GCF Formula

Least Common Multiple of 67,31,56 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 67,31,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,31,56) = 1

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

GCF(67,31,56) x common factors =1 x 1 = 1

LCM(67,31,56) = ( 67 × 31 × 56 ) / 1

LCM(67,31,56) = 116312 / 1

LCM(67,31,56) = 116312


Lets's calculate GCF of 82,40,86

2 82, 40, 86
41, 20, 43

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116312/2

Therefore the LCM of Fractions 67/82,31/40,56/86 is 58156

Greatest Common Factor of 82,40,86 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,40,86 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Greatest Common Factor

We found the factors 82,40,86 . The biggest common factor number is the GCF number.
So the greatest common factor 82,40,86 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 67/82, 31/40, 56/86

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 67/82, 31/40, 56/86?

Answer: LCM of Numerators as per given numbers 67/82, 31/40, 56/86 is

LCM of Numerators i.e. for 67,31,56 is 116312

GCF of denominators i.e. for 82,40,86 is 2.

Thus, LCM of Fractions is 58156.Finally, LCM of Fractions for 67/82, 31/40, 56/86 is 58156.