Least Common Multiple of 72/859, 5420/6723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/859, 5420/6723 quickly i.e. 97560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/859, 5420/6723 is 97560.

LCM(72/859, 5420/6723) = 97560

LCM of 72/859, 5420/6723

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 72/859,5420/6723

Given numbers are 72/859,5420/6723

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 72,5420

Least Common Multiple of Numerators i.e. LCM of 72,5420 is 97560.

GCF of Denominators means GCF of 859,6723 as per the given fractions.

GCF of 859,6723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,5420

LCM of Fractions 72/859,5420/6723 is 97560

2 72, 5420
2 36, 2710
18, 1355

∴ So the LCM of the given numbers is 2 x 2 x 18 x 1355 = 97560

Least Common Multiple of 72,5420 with GCF Formula

Least Common Multiple of 72,5420 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 72,5420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,5420) = 4

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

GCF(72,5420) x common factors =4 x 1 = 4

LCM(72,5420) = ( 72 × 5420 ) / 4

LCM(72,5420) = 390240 / 4

LCM(72,5420) = 97560


Lets's calculate GCF of 859,6723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97560/1

Therefore the LCM of Fractions 72/859,5420/6723 is 97560

Greatest Common Factor of 859,6723 By Matching Biggest Common Factor Method

Greatest Common Factor of 859,6723 By Matching Biggest Common Factor Method

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Factors of 6723

List of positive integer factors of 6723 that divides 6723 without a remainder.

1,3,9,27,81,83,249,747,2241,6723

Greatest Common Factor

We found the factors 859,6723 . The biggest common factor number is the GCF number.
So the greatest common factor 859,6723 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 72/859, 5420/6723

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 72/859, 5420/6723?

Answer: LCM of Numerators as per given numbers 72/859, 5420/6723 is

LCM of Numerators i.e. for 72,5420 is 97560

GCF of denominators i.e. for 859,6723 is 1.

Thus, LCM of Fractions is 97560.Finally, LCM of Fractions for 72/859, 5420/6723 is 97560.