Least Common Multiple of 31/749, 57/802, 711/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/749, 57/802, 711/811 quickly i.e. 418779 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/749, 57/802, 711/811 is 418779.

LCM(31/749, 57/802, 711/811) = 418779

LCM of 31/749, 57/802, 711/811

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 31/749,57/802,711/811

Given numbers are 31/749,57/802,711/811

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 31,57,711

Least Common Multiple of Numerators i.e. LCM of 31,57,711 is 418779.

GCF of Denominators means GCF of 749,802,811 as per the given fractions.

GCF of 749,802,811 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,57,711

LCM of Fractions 31/749,57/802,711/811 is 418779

3 31, 57, 711
31, 19, 237

∴ So the LCM of the given numbers is 3 x 31 x 19 x 237 = 418779

Least Common Multiple of 31,57,711 with GCF Formula

Least Common Multiple of 31,57,711 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 31,57,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,57,711) = 1

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

GCF(31,57,711) x common factors =1 x 3 = 3

LCM(31,57,711) = ( 31 × 57 × 711 ) / 3

LCM(31,57,711) = 1256337 / 3

LCM(31,57,711) = 418779


Lets's calculate GCF of 749,802,811

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 418779/1

Therefore the LCM of Fractions 31/749,57/802,711/811 is 418779

Greatest Common Factor of 749,802,811 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,802,811 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Greatest Common Factor

We found the factors 749,802,811 . The biggest common factor number is the GCF number.
So the greatest common factor 749,802,811 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 31/749, 57/802, 711/811

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 31/749, 57/802, 711/811?

Answer: LCM of Numerators as per given numbers 31/749, 57/802, 711/811 is

LCM of Numerators i.e. for 31,57,711 is 418779

GCF of denominators i.e. for 749,802,811 is 1.

Thus, LCM of Fractions is 418779.Finally, LCM of Fractions for 31/749, 57/802, 711/811 is 418779.