Least Common Multiple of 391/40, 759/9667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 391/40, 759/9667 quickly i.e. 12903 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 391/40, 759/9667 is 12903.

LCM(391/40, 759/9667) = 12903

LCM of 391/40, 759/9667

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 391/40,759/9667

Given numbers are 391/40,759/9667

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 391,759

Least Common Multiple of Numerators i.e. LCM of 391,759 is 12903.

GCF of Denominators means GCF of 40,9667 as per the given fractions.

GCF of 40,9667 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 391,759

LCM of Fractions 391/40,759/9667 is 12903

23 391, 759
17, 33

∴ So the LCM of the given numbers is 23 x 17 x 33 = 12903

Least Common Multiple of 391,759 with GCF Formula

Least Common Multiple of 391,759 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 391,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,759) = 23

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

GCF(391,759) x common factors =23 x 1 = 23

LCM(391,759) = ( 391 × 759 ) / 23

LCM(391,759) = 296769 / 23

LCM(391,759) = 12903


Lets's calculate GCF of 40,9667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12903/1

Therefore the LCM of Fractions 391/40,759/9667 is 12903

Greatest Common Factor of 40,9667 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,9667 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 9667

List of positive integer factors of 9667 that divides 9667 without a remainder.

1,7,1381,9667

Greatest Common Factor

We found the factors 40,9667 . The biggest common factor number is the GCF number.
So the greatest common factor 40,9667 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 391/40, 759/9667

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 391/40, 759/9667?

Answer: LCM of Numerators as per given numbers 391/40, 759/9667 is

LCM of Numerators i.e. for 391,759 is 12903

GCF of denominators i.e. for 40,9667 is 1.

Thus, LCM of Fractions is 12903.Finally, LCM of Fractions for 391/40, 759/9667 is 12903.