Least Common Multiple of 24/231, 646/155, 517/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/231, 646/155, 517/307 quickly i.e. 4007784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/231, 646/155, 517/307 is 4007784.

LCM(24/231, 646/155, 517/307) = 4007784

LCM of 24/231, 646/155, 517/307

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 24/231,646/155,517/307

Given numbers are 24/231,646/155,517/307

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 24,646,517

Least Common Multiple of Numerators i.e. LCM of 24,646,517 is 4007784.

GCF of Denominators means GCF of 231,155,307 as per the given fractions.

GCF of 231,155,307 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,646,517

LCM of Fractions 24/231,646/155,517/307 is 4007784

2 24, 646, 517
12, 323, 517

∴ So the LCM of the given numbers is 2 x 12 x 323 x 517 = 4007784

Least Common Multiple of 24,646,517 with GCF Formula

Least Common Multiple of 24,646,517 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 24,646,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,646,517) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(24,646,517) x common factors =1 x 2 = 2

LCM(24,646,517) = ( 24 × 646 × 517 ) / 2

LCM(24,646,517) = 8015568 / 2

LCM(24,646,517) = 4007784


Lets's calculate GCF of 231,155,307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4007784/1

Therefore the LCM of Fractions 24/231,646/155,517/307 is 4007784

Greatest Common Factor of 231,155,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,155,307 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors 231,155,307 . The biggest common factor number is the GCF number.
So the greatest common factor 231,155,307 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 24/231, 646/155, 517/307

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 24/231, 646/155, 517/307?

Answer: LCM of Numerators as per given numbers 24/231, 646/155, 517/307 is

LCM of Numerators i.e. for 24,646,517 is 4007784

GCF of denominators i.e. for 231,155,307 is 1.

Thus, LCM of Fractions is 4007784.Finally, LCM of Fractions for 24/231, 646/155, 517/307 is 4007784.