Least Common Multiple of 767/13, 298/27, 563/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 767/13, 298/27, 563/781 quickly i.e. 128682658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 767/13, 298/27, 563/781 is 128682658.

LCM(767/13, 298/27, 563/781) = 128682658

LCM of 767/13, 298/27, 563/781

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 767/13,298/27,563/781

Given numbers are 767/13,298/27,563/781

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 767,298,563

Least Common Multiple of Numerators i.e. LCM of 767,298,563 is 128682658.

GCF of Denominators means GCF of 13,27,781 as per the given fractions.

GCF of 13,27,781 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 767,298,563

LCM of Fractions 767/13,298/27,563/781 is 128682658

Given numbers has no common factors except 1. So, there LCM is their product i.e 128682658

Least Common Multiple of 767,298,563 with GCF Formula

Least Common Multiple of 767,298,563 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 767,298,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,298,563) = 1

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

GCF(767,298,563) x common factors =1 x 1 = 1

LCM(767,298,563) = ( 767 × 298 × 563 ) / 1

LCM(767,298,563) = 128682658 / 1

LCM(767,298,563) = 128682658


Lets's calculate GCF of 13,27,781

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128682658/1

Therefore the LCM of Fractions 767/13,298/27,563/781 is 128682658

Greatest Common Factor of 13,27,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,27,781 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Greatest Common Factor

We found the factors 13,27,781 . The biggest common factor number is the GCF number.
So the greatest common factor 13,27,781 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 767/13, 298/27, 563/781

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 767/13, 298/27, 563/781?

Answer: LCM of Numerators as per given numbers 767/13, 298/27, 563/781 is

LCM of Numerators i.e. for 767,298,563 is 128682658

GCF of denominators i.e. for 13,27,781 is 1.

Thus, LCM of Fractions is 128682658.Finally, LCM of Fractions for 767/13, 298/27, 563/781 is 128682658.