Least Common Multiple of 6579/672, 7296/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6579/672, 7296/782 quickly i.e. 8000064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6579/672, 7296/782 is 8000064.

LCM(6579/672, 7296/782) = 8000064

LCM of 6579/672, 7296/782

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 6579/672,7296/782

Given numbers are 6579/672,7296/782

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 6579,7296

Least Common Multiple of Numerators i.e. LCM of 6579,7296 is 16000128.

GCF of Denominators means GCF of 672,782 as per the given fractions.

GCF of 672,782 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6579,7296

LCM of Fractions 6579/672,7296/782 is 8000064

3 6579, 7296
2193, 2432

∴ So the LCM of the given numbers is 3 x 2193 x 2432 = 16000128

Least Common Multiple of 6579,7296 with GCF Formula

Least Common Multiple of 6579,7296 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 6579,7296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6579,7296) = 3

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

GCF(6579,7296) x common factors =3 x 1 = 3

LCM(6579,7296) = ( 6579 × 7296 ) / 3

LCM(6579,7296) = 48000384 / 3

LCM(6579,7296) = 16000128


Lets's calculate GCF of 672,782

2 672, 782
336, 391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16000128/2

Therefore the LCM of Fractions 6579/672,7296/782 is 8000064

Greatest Common Factor of 672,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,782 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 672,782 . The biggest common factor number is the GCF number.
So the greatest common factor 672,782 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 6579/672, 7296/782

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 6579/672, 7296/782?

Answer: LCM of Numerators as per given numbers 6579/672, 7296/782 is

LCM of Numerators i.e. for 6579,7296 is 16000128

GCF of denominators i.e. for 672,782 is 2.

Thus, LCM of Fractions is 8000064.Finally, LCM of Fractions for 6579/672, 7296/782 is 8000064.