Least Common Multiple of 24/81, 15/17, 37/50, 76/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/81, 15/17, 37/50, 76/727 quickly i.e. 84360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/81, 15/17, 37/50, 76/727 is 84360.

LCM(24/81, 15/17, 37/50, 76/727) = 84360

LCM of 24/81, 15/17, 37/50, 76/727

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 24/81,15/17,37/50,76/727

Given numbers are 24/81,15/17,37/50,76/727

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 24,15,37,76

Least Common Multiple of Numerators i.e. LCM of 24,15,37,76 is 84360.

GCF of Denominators means GCF of 81,17,50,727 as per the given fractions.

GCF of 81,17,50,727 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,15,37,76

LCM of Fractions 24/81,15/17,37/50,76/727 is 84360

2 24, 15, 37, 76
2 12, 15, 37, 38
3 6, 15, 37, 19
2, 5, 37, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 5 x 37 x 19 = 84360

Least Common Multiple of 24,15,37,76 with GCF Formula

Least Common Multiple of 24,15,37,76 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 24,15,37,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,15,37,76) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(24,15,37,76) x common factors =1 x 12 = 12

LCM(24,15,37,76) = ( 24 × 15 × 37 × 76 ) / 12

LCM(24,15,37,76) = 1012320 / 12

LCM(24,15,37,76) = 84360


Lets's calculate GCF of 81,17,50,727

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84360/1

Therefore the LCM of Fractions 24/81,15/17,37/50,76/727 is 84360

Greatest Common Factor of 81,17,50,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,17,50,727 By Matching Biggest Common Factor Method

Factors of 81

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

1,3,9,27,81

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 81,17,50,727 . The biggest common factor number is the GCF number.
So the greatest common factor 81,17,50,727 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 24/81, 15/17, 37/50, 76/727

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 24/81, 15/17, 37/50, 76/727?

Answer: LCM of Numerators as per given numbers 24/81, 15/17, 37/50, 76/727 is

LCM of Numerators i.e. for 24,15,37,76 is 84360

GCF of denominators i.e. for 81,17,50,727 is 1.

Thus, LCM of Fractions is 84360.Finally, LCM of Fractions for 24/81, 15/17, 37/50, 76/727 is 84360.