Least Common Multiple of 81/58, 31/45, 678/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/58, 31/45, 678/844 quickly i.e. 567486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/58, 31/45, 678/844 is 567486.

LCM(81/58, 31/45, 678/844) = 567486

LCM of 81/58, 31/45, 678/844

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 81/58,31/45,678/844

Given numbers are 81/58,31/45,678/844

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 81,31,678

Least Common Multiple of Numerators i.e. LCM of 81,31,678 is 567486.

GCF of Denominators means GCF of 58,45,844 as per the given fractions.

GCF of 58,45,844 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,31,678

LCM of Fractions 81/58,31/45,678/844 is 567486

3 81, 31, 678
27, 31, 226

∴ So the LCM of the given numbers is 3 x 27 x 31 x 226 = 567486

Least Common Multiple of 81,31,678 with GCF Formula

Least Common Multiple of 81,31,678 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 81,31,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,31,678) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,31,678) x common factors =1 x 3 = 3

LCM(81,31,678) = ( 81 × 31 × 678 ) / 3

LCM(81,31,678) = 1702458 / 3

LCM(81,31,678) = 567486


Lets's calculate GCF of 58,45,844

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 567486/1

Therefore the LCM of Fractions 81/58,31/45,678/844 is 567486

Greatest Common Factor of 58,45,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,45,844 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 58,45,844 . The biggest common factor number is the GCF number.
So the greatest common factor 58,45,844 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 81/58, 31/45, 678/844

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 81/58, 31/45, 678/844?

Answer: LCM of Numerators as per given numbers 81/58, 31/45, 678/844 is

LCM of Numerators i.e. for 81,31,678 is 567486

GCF of denominators i.e. for 58,45,844 is 1.

Thus, LCM of Fractions is 567486.Finally, LCM of Fractions for 81/58, 31/45, 678/844 is 567486.