Least Common Multiple of 7/24, 83/729, 39/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/24, 83/729, 39/214 quickly i.e. 22659 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/24, 83/729, 39/214 is 22659.

LCM(7/24, 83/729, 39/214) = 22659

LCM of 7/24, 83/729, 39/214

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 7/24,83/729,39/214

Given numbers are 7/24,83/729,39/214

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 7,83,39

Least Common Multiple of Numerators i.e. LCM of 7,83,39 is 22659.

GCF of Denominators means GCF of 24,729,214 as per the given fractions.

GCF of 24,729,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,83,39

LCM of Fractions 7/24,83/729,39/214 is 22659

Given numbers has no common factors except 1. So, there LCM is their product i.e 22659

Least Common Multiple of 7,83,39 with GCF Formula

Least Common Multiple of 7,83,39 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 7,83,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,83,39) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(7,83,39) x common factors =1 x 1 = 1

LCM(7,83,39) = ( 7 × 83 × 39 ) / 1

LCM(7,83,39) = 22659 / 1

LCM(7,83,39) = 22659


Lets's calculate GCF of 24,729,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22659/1

Therefore the LCM of Fractions 7/24,83/729,39/214 is 22659

Greatest Common Factor of 24,729,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,729,214 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 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 24,729,214 . The biggest common factor number is the GCF number.
So the greatest common factor 24,729,214 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 7/24, 83/729, 39/214

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 7/24, 83/729, 39/214?

Answer: LCM of Numerators as per given numbers 7/24, 83/729, 39/214 is

LCM of Numerators i.e. for 7,83,39 is 22659

GCF of denominators i.e. for 24,729,214 is 1.

Thus, LCM of Fractions is 22659.Finally, LCM of Fractions for 7/24, 83/729, 39/214 is 22659.