Least Common Multiple of 6781/772, 5696/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6781/772, 5696/766 quickly i.e. 19312288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6781/772, 5696/766 is 19312288.

LCM(6781/772, 5696/766) = 19312288

LCM of 6781/772, 5696/766

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 6781/772,5696/766

Given numbers are 6781/772,5696/766

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 6781,5696

Least Common Multiple of Numerators i.e. LCM of 6781,5696 is 38624576.

GCF of Denominators means GCF of 772,766 as per the given fractions.

GCF of 772,766 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6781,5696

LCM of Fractions 6781/772,5696/766 is 19312288

Given numbers has no common factors except 1. So, there LCM is their product i.e 38624576

Least Common Multiple of 6781,5696 with GCF Formula

Least Common Multiple of 6781,5696 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 6781,5696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6781,5696) = 1

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

GCF(6781,5696) x common factors =1 x 1 = 1

LCM(6781,5696) = ( 6781 × 5696 ) / 1

LCM(6781,5696) = 38624576 / 1

LCM(6781,5696) = 38624576


Lets's calculate GCF of 772,766

2 772, 766
386, 383

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38624576/2

Therefore the LCM of Fractions 6781/772,5696/766 is 19312288

Greatest Common Factor of 772,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,766 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 766

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

1,2,383,766

Greatest Common Factor

We found the factors 772,766 . The biggest common factor number is the GCF number.
So the greatest common factor 772,766 is 2.


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 6781/772, 5696/766

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 6781/772, 5696/766?

Answer: LCM of Numerators as per given numbers 6781/772, 5696/766 is

LCM of Numerators i.e. for 6781,5696 is 38624576

GCF of denominators i.e. for 772,766 is 2.

Thus, LCM of Fractions is 19312288.Finally, LCM of Fractions for 6781/772, 5696/766 is 19312288.