Least Common Multiple of 539/72, 740/99, 859/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 539/72, 740/99, 859/108 quickly i.e. 342620740/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 539/72, 740/99, 859/108 is 342620740/9.

LCM(539/72, 740/99, 859/108) = 342620740/9

LCM of 539/72, 740/99, 859/108

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 539/72,740/99,859/108

Given numbers are 539/72,740/99,859/108

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 539,740,859

Least Common Multiple of Numerators i.e. LCM of 539,740,859 is 342620740.

GCF of Denominators means GCF of 72,99,108 as per the given fractions.

GCF of 72,99,108 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 539,740,859

LCM of Fractions 539/72,740/99,859/108 is 342620740/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 342620740

Least Common Multiple of 539,740,859 with GCF Formula

Least Common Multiple of 539,740,859 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 539,740,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,740,859) = 1

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

GCF(539,740,859) x common factors =1 x 1 = 1

LCM(539,740,859) = ( 539 × 740 × 859 ) / 1

LCM(539,740,859) = 342620740 / 1

LCM(539,740,859) = 342620740


Lets's calculate GCF of 72,99,108

3 72, 99, 108
3 24, 33, 36
8, 11, 12

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 342620740/9

Therefore the LCM of Fractions 539/72,740/99,859/108 is 342620740/9

Greatest Common Factor of 72,99,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,99,108 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 72,99,108 . The biggest common factor number is the GCF number.
So the greatest common factor 72,99,108 is 9.


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 539/72, 740/99, 859/108

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 539/72, 740/99, 859/108?

Answer: LCM of Numerators as per given numbers 539/72, 740/99, 859/108 is

LCM of Numerators i.e. for 539,740,859 is 342620740

GCF of denominators i.e. for 72,99,108 is 9.

Thus, LCM of Fractions is 342620740/9.Finally, LCM of Fractions for 539/72, 740/99, 859/108 is 342620740/9.