Least Common Multiple of 56/90, 64/78, 729/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/90, 64/78, 729/579 quickly i.e. 108864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/90, 64/78, 729/579 is 108864.

LCM(56/90, 64/78, 729/579) = 108864

LCM of 56/90, 64/78, 729/579

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 56/90,64/78,729/579

Given numbers are 56/90,64/78,729/579

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 56,64,729

Least Common Multiple of Numerators i.e. LCM of 56,64,729 is 326592.

GCF of Denominators means GCF of 90,78,579 as per the given fractions.

GCF of 90,78,579 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,64,729

LCM of Fractions 56/90,64/78,729/579 is 108864

2 56, 64, 729
2 28, 32, 729
2 14, 16, 729
7, 8, 729

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 8 x 729 = 326592

Least Common Multiple of 56,64,729 with GCF Formula

Least Common Multiple of 56,64,729 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 56,64,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,64,729) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(56,64,729) x common factors =1 x 8 = 8

LCM(56,64,729) = ( 56 × 64 × 729 ) / 8

LCM(56,64,729) = 2612736 / 8

LCM(56,64,729) = 326592


Lets's calculate GCF of 90,78,579

3 90, 78, 579
30, 26, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 326592/3

Therefore the LCM of Fractions 56/90,64/78,729/579 is 108864

Greatest Common Factor of 90,78,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,78,579 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 90,78,579 . The biggest common factor number is the GCF number.
So the greatest common factor 90,78,579 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 56/90, 64/78, 729/579

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 56/90, 64/78, 729/579?

Answer: LCM of Numerators as per given numbers 56/90, 64/78, 729/579 is

LCM of Numerators i.e. for 56,64,729 is 326592

GCF of denominators i.e. for 90,78,579 is 3.

Thus, LCM of Fractions is 108864.Finally, LCM of Fractions for 56/90, 64/78, 729/579 is 108864.