Least Common Multiple of 31/24, 210/29, 648/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/24, 210/29, 648/339 quickly i.e. 703080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/24, 210/29, 648/339 is 703080.

LCM(31/24, 210/29, 648/339) = 703080

LCM of 31/24, 210/29, 648/339

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 31/24,210/29,648/339

Given numbers are 31/24,210/29,648/339

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 31,210,648

Least Common Multiple of Numerators i.e. LCM of 31,210,648 is 703080.

GCF of Denominators means GCF of 24,29,339 as per the given fractions.

GCF of 24,29,339 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,210,648

LCM of Fractions 31/24,210/29,648/339 is 703080

2 31, 210, 648
3 31, 105, 324
31, 35, 108

∴ So the LCM of the given numbers is 2 x 3 x 31 x 35 x 108 = 703080

Least Common Multiple of 31,210,648 with GCF Formula

Least Common Multiple of 31,210,648 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 31,210,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,210,648) = 1

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

GCF(31,210,648) x common factors =1 x 6 = 6

LCM(31,210,648) = ( 31 × 210 × 648 ) / 6

LCM(31,210,648) = 4218480 / 6

LCM(31,210,648) = 703080


Lets's calculate GCF of 24,29,339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 703080/1

Therefore the LCM of Fractions 31/24,210/29,648/339 is 703080

Greatest Common Factor of 24,29,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,29,339 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 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 24,29,339 . The biggest common factor number is the GCF number.
So the greatest common factor 24,29,339 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 31/24, 210/29, 648/339

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 31/24, 210/29, 648/339?

Answer: LCM of Numerators as per given numbers 31/24, 210/29, 648/339 is

LCM of Numerators i.e. for 31,210,648 is 703080

GCF of denominators i.e. for 24,29,339 is 1.

Thus, LCM of Fractions is 703080.Finally, LCM of Fractions for 31/24, 210/29, 648/339 is 703080.