Least Common Multiple of 8364/694, 7983/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8364/694, 7983/524 quickly i.e. 11128302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8364/694, 7983/524 is 11128302.

LCM(8364/694, 7983/524) = 11128302

LCM of 8364/694, 7983/524

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 8364/694,7983/524

Given numbers are 8364/694,7983/524

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 8364,7983

Least Common Multiple of Numerators i.e. LCM of 8364,7983 is 22256604.

GCF of Denominators means GCF of 694,524 as per the given fractions.

GCF of 694,524 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8364,7983

LCM of Fractions 8364/694,7983/524 is 11128302

3 8364, 7983
2788, 2661

∴ So the LCM of the given numbers is 3 x 2788 x 2661 = 22256604

Least Common Multiple of 8364,7983 with GCF Formula

Least Common Multiple of 8364,7983 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 8364,7983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8364,7983) = 3

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

GCF(8364,7983) x common factors =3 x 1 = 3

LCM(8364,7983) = ( 8364 × 7983 ) / 3

LCM(8364,7983) = 66769812 / 3

LCM(8364,7983) = 22256604


Lets's calculate GCF of 694,524

2 694, 524
347, 262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22256604/2

Therefore the LCM of Fractions 8364/694,7983/524 is 11128302

Greatest Common Factor of 694,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,524 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 694,524 . The biggest common factor number is the GCF number.
So the greatest common factor 694,524 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 8364/694, 7983/524

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 8364/694, 7983/524?

Answer: LCM of Numerators as per given numbers 8364/694, 7983/524 is

LCM of Numerators i.e. for 8364,7983 is 22256604

GCF of denominators i.e. for 694,524 is 2.

Thus, LCM of Fractions is 11128302.Finally, LCM of Fractions for 8364/694, 7983/524 is 11128302.