Least Common Multiple of 76/24, 24/323, 390/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/24, 24/323, 390/587 quickly i.e. 29640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/24, 24/323, 390/587 is 29640.

LCM(76/24, 24/323, 390/587) = 29640

LCM of 76/24, 24/323, 390/587

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 76/24,24/323,390/587

Given numbers are 76/24,24/323,390/587

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 76,24,390

Least Common Multiple of Numerators i.e. LCM of 76,24,390 is 29640.

GCF of Denominators means GCF of 24,323,587 as per the given fractions.

GCF of 24,323,587 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,24,390

LCM of Fractions 76/24,24/323,390/587 is 29640

2 76, 24, 390
2 38, 12, 195
3 19, 6, 195
19, 2, 65

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 2 x 65 = 29640

Least Common Multiple of 76,24,390 with GCF Formula

Least Common Multiple of 76,24,390 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 76,24,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,24,390) = 2

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

GCF(76,24,390) x common factors =2 x 12 = 24

LCM(76,24,390) = ( 76 × 24 × 390 ) / 24

LCM(76,24,390) = 711360 / 24

LCM(76,24,390) = 29640


Lets's calculate GCF of 24,323,587

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29640/1

Therefore the LCM of Fractions 76/24,24/323,390/587 is 29640

Greatest Common Factor of 24,323,587 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,323,587 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Greatest Common Factor

We found the factors 24,323,587 . The biggest common factor number is the GCF number.
So the greatest common factor 24,323,587 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 76/24, 24/323, 390/587

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 76/24, 24/323, 390/587?

Answer: LCM of Numerators as per given numbers 76/24, 24/323, 390/587 is

LCM of Numerators i.e. for 76,24,390 is 29640

GCF of denominators i.e. for 24,323,587 is 1.

Thus, LCM of Fractions is 29640.Finally, LCM of Fractions for 76/24, 24/323, 390/587 is 29640.