Least Common Multiple of 24/54, 42/58, 517/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/54, 42/58, 517/727 quickly i.e. 86856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/54, 42/58, 517/727 is 86856.

LCM(24/54, 42/58, 517/727) = 86856

LCM of 24/54, 42/58, 517/727

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 24/54,42/58,517/727

Given numbers are 24/54,42/58,517/727

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 24,42,517

Least Common Multiple of Numerators i.e. LCM of 24,42,517 is 86856.

GCF of Denominators means GCF of 54,58,727 as per the given fractions.

GCF of 54,58,727 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,42,517

LCM of Fractions 24/54,42/58,517/727 is 86856

2 24, 42, 517
3 12, 21, 517
4, 7, 517

∴ So the LCM of the given numbers is 2 x 3 x 4 x 7 x 517 = 86856

Least Common Multiple of 24,42,517 with GCF Formula

Least Common Multiple of 24,42,517 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 24,42,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,42,517) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(24,42,517) x common factors =1 x 6 = 6

LCM(24,42,517) = ( 24 × 42 × 517 ) / 6

LCM(24,42,517) = 521136 / 6

LCM(24,42,517) = 86856


Lets's calculate GCF of 54,58,727

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86856/1

Therefore the LCM of Fractions 24/54,42/58,517/727 is 86856

Greatest Common Factor of 54,58,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,58,727 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

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 54,58,727 . The biggest common factor number is the GCF number.
So the greatest common factor 54,58,727 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 24/54, 42/58, 517/727

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 24/54, 42/58, 517/727?

Answer: LCM of Numerators as per given numbers 24/54, 42/58, 517/727 is

LCM of Numerators i.e. for 24,42,517 is 86856

GCF of denominators i.e. for 54,58,727 is 1.

Thus, LCM of Fractions is 86856.Finally, LCM of Fractions for 24/54, 42/58, 517/727 is 86856.