Least Common Multiple of 681/42, 206/39, 454/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 681/42, 206/39, 454/31 quickly i.e. 140286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 681/42, 206/39, 454/31 is 140286.

LCM(681/42, 206/39, 454/31) = 140286

LCM of 681/42, 206/39, 454/31

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 681/42,206/39,454/31

Given numbers are 681/42,206/39,454/31

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 681,206,454

Least Common Multiple of Numerators i.e. LCM of 681,206,454 is 140286.

GCF of Denominators means GCF of 42,39,31 as per the given fractions.

GCF of 42,39,31 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 681,206,454

LCM of Fractions 681/42,206/39,454/31 is 140286

2 681, 206, 454
227 681, 103, 227
3, 103, 1

∴ So the LCM of the given numbers is 2 x 227 x 3 x 103 x 1 = 140286

Least Common Multiple of 681,206,454 with GCF Formula

Least Common Multiple of 681,206,454 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 681,206,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,206,454) = 1

common factors(in case of two or more numbers have common factors) = 454

GCF(681,206,454) x common factors =1 x 454 = 454

LCM(681,206,454) = ( 681 × 206 × 454 ) / 454

LCM(681,206,454) = 63689844 / 454

LCM(681,206,454) = 140286


Lets's calculate GCF of 42,39,31

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140286/1

Therefore the LCM of Fractions 681/42,206/39,454/31 is 140286

Greatest Common Factor of 42,39,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,39,31 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Greatest Common Factor

We found the factors 42,39,31 . The biggest common factor number is the GCF number.
So the greatest common factor 42,39,31 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 681/42, 206/39, 454/31

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 681/42, 206/39, 454/31?

Answer: LCM of Numerators as per given numbers 681/42, 206/39, 454/31 is

LCM of Numerators i.e. for 681,206,454 is 140286

GCF of denominators i.e. for 42,39,31 is 1.

Thus, LCM of Fractions is 140286.Finally, LCM of Fractions for 681/42, 206/39, 454/31 is 140286.