Least Common Multiple of 786/881, 562/660, 786/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 786/881, 562/660, 786/768 quickly i.e. 220866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 786/881, 562/660, 786/768 is 220866.

LCM(786/881, 562/660, 786/768) = 220866

LCM of 786/881, 562/660, 786/768

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 786/881,562/660,786/768

Given numbers are 786/881,562/660,786/768

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 786,562,786

Least Common Multiple of Numerators i.e. LCM of 786,562,786 is 220866.

GCF of Denominators means GCF of 881,660,768 as per the given fractions.

GCF of 881,660,768 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 786,562,786

LCM of Fractions 786/881,562/660,786/768 is 220866

2 786, 562, 786
3 393, 281, 393
131 131, 281, 131
1, 281, 1

∴ So the LCM of the given numbers is 2 x 3 x 131 x 1 x 281 x 1 = 220866

Least Common Multiple of 786,562,786 with GCF Formula

Least Common Multiple of 786,562,786 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 786,562,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,562,786) = 2

common factors(in case of two or more numbers have common factors) = 786

GCF(786,562,786) x common factors =2 x 786 = 1572

LCM(786,562,786) = ( 786 × 562 × 786 ) / 1572

LCM(786,562,786) = 347201352 / 1572

LCM(786,562,786) = 220866


Lets's calculate GCF of 881,660,768

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220866/1

Therefore the LCM of Fractions 786/881,562/660,786/768 is 220866

Greatest Common Factor of 881,660,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 881,660,768 By Matching Biggest Common Factor Method

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 881,660,768 . The biggest common factor number is the GCF number.
So the greatest common factor 881,660,768 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 786/881, 562/660, 786/768

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 786/881, 562/660, 786/768?

Answer: LCM of Numerators as per given numbers 786/881, 562/660, 786/768 is

LCM of Numerators i.e. for 786,562,786 is 220866

GCF of denominators i.e. for 881,660,768 is 1.

Thus, LCM of Fractions is 220866.Finally, LCM of Fractions for 786/881, 562/660, 786/768 is 220866.