Least Common Multiple of 571/78, 927/81, 107/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 571/78, 927/81, 107/72 quickly i.e. 18878973 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 571/78, 927/81, 107/72 is 18878973.

LCM(571/78, 927/81, 107/72) = 18878973

LCM of 571/78, 927/81, 107/72

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 571/78,927/81,107/72

Given numbers are 571/78,927/81,107/72

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 571,927,107

Least Common Multiple of Numerators i.e. LCM of 571,927,107 is 56636919.

GCF of Denominators means GCF of 78,81,72 as per the given fractions.

GCF of 78,81,72 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 571,927,107

LCM of Fractions 571/78,927/81,107/72 is 18878973

Given numbers has no common factors except 1. So, there LCM is their product i.e 56636919

Least Common Multiple of 571,927,107 with GCF Formula

Least Common Multiple of 571,927,107 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 571,927,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,927,107) = 1

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

GCF(571,927,107) x common factors =1 x 1 = 1

LCM(571,927,107) = ( 571 × 927 × 107 ) / 1

LCM(571,927,107) = 56636919 / 1

LCM(571,927,107) = 56636919


Lets's calculate GCF of 78,81,72

3 78, 81, 72
26, 27, 24

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56636919/3

Therefore the LCM of Fractions 571/78,927/81,107/72 is 18878973

Greatest Common Factor of 78,81,72 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,81,72 By Matching Biggest Common Factor Method

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 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

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

Greatest Common Factor

We found the factors 78,81,72 . The biggest common factor number is the GCF number.
So the greatest common factor 78,81,72 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 571/78, 927/81, 107/72

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 571/78, 927/81, 107/72?

Answer: LCM of Numerators as per given numbers 571/78, 927/81, 107/72 is

LCM of Numerators i.e. for 571,927,107 is 56636919

GCF of denominators i.e. for 78,81,72 is 3.

Thus, LCM of Fractions is 18878973.Finally, LCM of Fractions for 571/78, 927/81, 107/72 is 18878973.