Least Common Multiple of 716/921, 6786/5418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 716/921, 6786/5418 quickly i.e. 809796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 716/921, 6786/5418 is 809796.

LCM(716/921, 6786/5418) = 809796

LCM of 716/921, 6786/5418

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 716/921,6786/5418

Given numbers are 716/921,6786/5418

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 716,6786

Least Common Multiple of Numerators i.e. LCM of 716,6786 is 2429388.

GCF of Denominators means GCF of 921,5418 as per the given fractions.

GCF of 921,5418 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 716,6786

LCM of Fractions 716/921,6786/5418 is 809796

2 716, 6786
358, 3393

∴ So the LCM of the given numbers is 2 x 358 x 3393 = 2429388

Least Common Multiple of 716,6786 with GCF Formula

Least Common Multiple of 716,6786 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 716,6786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,6786) = 2

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

GCF(716,6786) x common factors =2 x 1 = 2

LCM(716,6786) = ( 716 × 6786 ) / 2

LCM(716,6786) = 4858776 / 2

LCM(716,6786) = 2429388


Lets's calculate GCF of 921,5418

3 921, 5418
307, 1806

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2429388/3

Therefore the LCM of Fractions 716/921,6786/5418 is 809796

Greatest Common Factor of 921,5418 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,5418 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 5418

List of positive integer factors of 5418 that divides 5418 without a remainder.

1,2,3,6,7,9,14,18,21,42,43,63,86,126,129,258,301,387,602,774,903,1806,2709,5418

Greatest Common Factor

We found the factors 921,5418 . The biggest common factor number is the GCF number.
So the greatest common factor 921,5418 is 3.


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 716/921, 6786/5418

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 716/921, 6786/5418?

Answer: LCM of Numerators as per given numbers 716/921, 6786/5418 is

LCM of Numerators i.e. for 716,6786 is 2429388

GCF of denominators i.e. for 921,5418 is 3.

Thus, LCM of Fractions is 809796.Finally, LCM of Fractions for 716/921, 6786/5418 is 809796.