Least Common Multiple of 23/39, 72/12, 649/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/39, 72/12, 649/31 quickly i.e. 1074744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/39, 72/12, 649/31 is 1074744.

LCM(23/39, 72/12, 649/31) = 1074744

LCM of 23/39, 72/12, 649/31

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 23/39,72/12,649/31

Given numbers are 23/39,72/12,649/31

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 23,72,649

Least Common Multiple of Numerators i.e. LCM of 23,72,649 is 1074744.

GCF of Denominators means GCF of 39,12,31 as per the given fractions.

GCF of 39,12,31 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,72,649

LCM of Fractions 23/39,72/12,649/31 is 1074744

Given numbers has no common factors except 1. So, there LCM is their product i.e 1074744

Least Common Multiple of 23,72,649 with GCF Formula

Least Common Multiple of 23,72,649 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 23,72,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,72,649) = 1

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

GCF(23,72,649) x common factors =1 x 1 = 1

LCM(23,72,649) = ( 23 × 72 × 649 ) / 1

LCM(23,72,649) = 1074744 / 1

LCM(23,72,649) = 1074744


Lets's calculate GCF of 39,12,31

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1074744/1

Therefore the LCM of Fractions 23/39,72/12,649/31 is 1074744

Greatest Common Factor of 39,12,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,12,31 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Greatest Common Factor

We found the factors 39,12,31 . The biggest common factor number is the GCF number.
So the greatest common factor 39,12,31 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 23/39, 72/12, 649/31

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 23/39, 72/12, 649/31?

Answer: LCM of Numerators as per given numbers 23/39, 72/12, 649/31 is

LCM of Numerators i.e. for 23,72,649 is 1074744

GCF of denominators i.e. for 39,12,31 is 1.

Thus, LCM of Fractions is 1074744.Finally, LCM of Fractions for 23/39, 72/12, 649/31 is 1074744.