Least Common Multiple of 86/54, 31/82, 29/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/54, 31/82, 29/812 quickly i.e. 38657 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/54, 31/82, 29/812 is 38657.

LCM(86/54, 31/82, 29/812) = 38657

LCM of 86/54, 31/82, 29/812

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 86/54,31/82,29/812

Given numbers are 86/54,31/82,29/812

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 86,31,29

Least Common Multiple of Numerators i.e. LCM of 86,31,29 is 77314.

GCF of Denominators means GCF of 54,82,812 as per the given fractions.

GCF of 54,82,812 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,31,29

LCM of Fractions 86/54,31/82,29/812 is 38657

Given numbers has no common factors except 1. So, there LCM is their product i.e 77314

Least Common Multiple of 86,31,29 with GCF Formula

Least Common Multiple of 86,31,29 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 86,31,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,31,29) = 1

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

GCF(86,31,29) x common factors =1 x 1 = 1

LCM(86,31,29) = ( 86 × 31 × 29 ) / 1

LCM(86,31,29) = 77314 / 1

LCM(86,31,29) = 77314


Lets's calculate GCF of 54,82,812

2 54, 82, 812
27, 41, 406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77314/2

Therefore the LCM of Fractions 86/54,31/82,29/812 is 38657

Greatest Common Factor of 54,82,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,82,812 By Matching Biggest Common Factor Method

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 82

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

1,2,41,82

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 54,82,812 . The biggest common factor number is the GCF number.
So the greatest common factor 54,82,812 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 86/54, 31/82, 29/812

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 86/54, 31/82, 29/812?

Answer: LCM of Numerators as per given numbers 86/54, 31/82, 29/812 is

LCM of Numerators i.e. for 86,31,29 is 77314

GCF of denominators i.e. for 54,82,812 is 2.

Thus, LCM of Fractions is 38657.Finally, LCM of Fractions for 86/54, 31/82, 29/812 is 38657.