Least Common Multiple of 31/261, 43/194, 533/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/261, 43/194, 533/639 quickly i.e. 710489 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/261, 43/194, 533/639 is 710489.

LCM(31/261, 43/194, 533/639) = 710489

LCM of 31/261, 43/194, 533/639

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 31/261,43/194,533/639

Given numbers are 31/261,43/194,533/639

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 31,43,533

Least Common Multiple of Numerators i.e. LCM of 31,43,533 is 710489.

GCF of Denominators means GCF of 261,194,639 as per the given fractions.

GCF of 261,194,639 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,43,533

LCM of Fractions 31/261,43/194,533/639 is 710489

Given numbers has no common factors except 1. So, there LCM is their product i.e 710489

Least Common Multiple of 31,43,533 with GCF Formula

Least Common Multiple of 31,43,533 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 31,43,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,43,533) = 1

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

GCF(31,43,533) x common factors =1 x 1 = 1

LCM(31,43,533) = ( 31 × 43 × 533 ) / 1

LCM(31,43,533) = 710489 / 1

LCM(31,43,533) = 710489


Lets's calculate GCF of 261,194,639

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 710489/1

Therefore the LCM of Fractions 31/261,43/194,533/639 is 710489

Greatest Common Factor of 261,194,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,194,639 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors 261,194,639 . The biggest common factor number is the GCF number.
So the greatest common factor 261,194,639 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 31/261, 43/194, 533/639

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 31/261, 43/194, 533/639?

Answer: LCM of Numerators as per given numbers 31/261, 43/194, 533/639 is

LCM of Numerators i.e. for 31,43,533 is 710489

GCF of denominators i.e. for 261,194,639 is 1.

Thus, LCM of Fractions is 710489.Finally, LCM of Fractions for 31/261, 43/194, 533/639 is 710489.