Least Common Multiple of 31/861, 21/221, 694/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/861, 21/221, 694/411 quickly i.e. 451794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/861, 21/221, 694/411 is 451794.

LCM(31/861, 21/221, 694/411) = 451794

LCM of 31/861, 21/221, 694/411

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 31/861,21/221,694/411

Given numbers are 31/861,21/221,694/411

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 31,21,694

Least Common Multiple of Numerators i.e. LCM of 31,21,694 is 451794.

GCF of Denominators means GCF of 861,221,411 as per the given fractions.

GCF of 861,221,411 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,21,694

LCM of Fractions 31/861,21/221,694/411 is 451794

Given numbers has no common factors except 1. So, there LCM is their product i.e 451794

Least Common Multiple of 31,21,694 with GCF Formula

Least Common Multiple of 31,21,694 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 31,21,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,21,694) = 1

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

GCF(31,21,694) x common factors =1 x 1 = 1

LCM(31,21,694) = ( 31 × 21 × 694 ) / 1

LCM(31,21,694) = 451794 / 1

LCM(31,21,694) = 451794


Lets's calculate GCF of 861,221,411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 451794/1

Therefore the LCM of Fractions 31/861,21/221,694/411 is 451794

Greatest Common Factor of 861,221,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,221,411 By Matching Biggest Common Factor Method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 861,221,411 . The biggest common factor number is the GCF number.
So the greatest common factor 861,221,411 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 31/861, 21/221, 694/411

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 31/861, 21/221, 694/411?

Answer: LCM of Numerators as per given numbers 31/861, 21/221, 694/411 is

LCM of Numerators i.e. for 31,21,694 is 451794

GCF of denominators i.e. for 861,221,411 is 1.

Thus, LCM of Fractions is 451794.Finally, LCM of Fractions for 31/861, 21/221, 694/411 is 451794.