Least Common Multiple of 24/627, 30/281, 116/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/627, 30/281, 116/715 quickly i.e. 3480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/627, 30/281, 116/715 is 3480.

LCM(24/627, 30/281, 116/715) = 3480

LCM of 24/627, 30/281, 116/715

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 24/627,30/281,116/715

Given numbers are 24/627,30/281,116/715

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 24,30,116

Least Common Multiple of Numerators i.e. LCM of 24,30,116 is 3480.

GCF of Denominators means GCF of 627,281,715 as per the given fractions.

GCF of 627,281,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,30,116

LCM of Fractions 24/627,30/281,116/715 is 3480

2 24, 30, 116
2 12, 15, 58
3 6, 15, 29
2, 5, 29

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 5 x 29 = 3480

Least Common Multiple of 24,30,116 with GCF Formula

Least Common Multiple of 24,30,116 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 24,30,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,30,116) = 2

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

GCF(24,30,116) x common factors =2 x 12 = 24

LCM(24,30,116) = ( 24 × 30 × 116 ) / 24

LCM(24,30,116) = 83520 / 24

LCM(24,30,116) = 3480


Lets's calculate GCF of 627,281,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3480/1

Therefore the LCM of Fractions 24/627,30/281,116/715 is 3480

Greatest Common Factor of 627,281,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,281,715 By Matching Biggest Common Factor Method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 627,281,715 . The biggest common factor number is the GCF number.
So the greatest common factor 627,281,715 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 24/627, 30/281, 116/715

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 24/627, 30/281, 116/715?

Answer: LCM of Numerators as per given numbers 24/627, 30/281, 116/715 is

LCM of Numerators i.e. for 24,30,116 is 3480

GCF of denominators i.e. for 627,281,715 is 1.

Thus, LCM of Fractions is 3480.Finally, LCM of Fractions for 24/627, 30/281, 116/715 is 3480.