Least Common Multiple of 272/766, 473/586, 767/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 272/766, 473/586, 767/811 quickly i.e. 98679152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 272/766, 473/586, 767/811 is 98679152.

LCM(272/766, 473/586, 767/811) = 98679152

LCM of 272/766, 473/586, 767/811

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 272/766,473/586,767/811

Given numbers are 272/766,473/586,767/811

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 272,473,767

Least Common Multiple of Numerators i.e. LCM of 272,473,767 is 98679152.

GCF of Denominators means GCF of 766,586,811 as per the given fractions.

GCF of 766,586,811 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 272,473,767

LCM of Fractions 272/766,473/586,767/811 is 98679152

Given numbers has no common factors except 1. So, there LCM is their product i.e 98679152

Least Common Multiple of 272,473,767 with GCF Formula

Least Common Multiple of 272,473,767 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 272,473,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,473,767) = 1

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

GCF(272,473,767) x common factors =1 x 1 = 1

LCM(272,473,767) = ( 272 × 473 × 767 ) / 1

LCM(272,473,767) = 98679152 / 1

LCM(272,473,767) = 98679152


Lets's calculate GCF of 766,586,811

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98679152/1

Therefore the LCM of Fractions 272/766,473/586,767/811 is 98679152

Greatest Common Factor of 766,586,811 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,586,811 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

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 766,586,811 . The biggest common factor number is the GCF number.
So the greatest common factor 766,586,811 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 272/766, 473/586, 767/811

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 272/766, 473/586, 767/811?

Answer: LCM of Numerators as per given numbers 272/766, 473/586, 767/811 is

LCM of Numerators i.e. for 272,473,767 is 98679152

GCF of denominators i.e. for 766,586,811 is 1.

Thus, LCM of Fractions is 98679152.Finally, LCM of Fractions for 272/766, 473/586, 767/811 is 98679152.