Least Common Multiple of 23/781, 1729/9675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/781, 1729/9675 quickly i.e. 39767 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/781, 1729/9675 is 39767.

LCM(23/781, 1729/9675) = 39767

LCM of 23/781, 1729/9675

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 23/781,1729/9675

Given numbers are 23/781,1729/9675

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 23,1729

Least Common Multiple of Numerators i.e. LCM of 23,1729 is 39767.

GCF of Denominators means GCF of 781,9675 as per the given fractions.

GCF of 781,9675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,1729

LCM of Fractions 23/781,1729/9675 is 39767

Given numbers has no common factors except 1. So, there LCM is their product i.e 39767

Least Common Multiple of 23,1729 with GCF Formula

Least Common Multiple of 23,1729 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 23,1729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,1729) = 1

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

GCF(23,1729) x common factors =1 x 1 = 1

LCM(23,1729) = ( 23 × 1729 ) / 1

LCM(23,1729) = 39767 / 1

LCM(23,1729) = 39767


Lets's calculate GCF of 781,9675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39767/1

Therefore the LCM of Fractions 23/781,1729/9675 is 39767

Greatest Common Factor of 781,9675 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,9675 By Matching Biggest Common Factor Method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 9675

List of positive integer factors of 9675 that divides 9675 without a remainder.

1,3,5,9,15,25,43,45,75,129,215,225,387,645,1075,1935,3225,9675

Greatest Common Factor

We found the factors 781,9675 . The biggest common factor number is the GCF number.
So the greatest common factor 781,9675 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 23/781, 1729/9675

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 23/781, 1729/9675?

Answer: LCM of Numerators as per given numbers 23/781, 1729/9675 is

LCM of Numerators i.e. for 23,1729 is 39767

GCF of denominators i.e. for 781,9675 is 1.

Thus, LCM of Fractions is 39767.Finally, LCM of Fractions for 23/781, 1729/9675 is 39767.