Least Common Multiple of 9735/709, 2655/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9735/709, 2655/843 quickly i.e. 29205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9735/709, 2655/843 is 29205.

LCM(9735/709, 2655/843) = 29205

LCM of 9735/709, 2655/843

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 9735/709,2655/843

Given numbers are 9735/709,2655/843

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 9735,2655

Least Common Multiple of Numerators i.e. LCM of 9735,2655 is 29205.

GCF of Denominators means GCF of 709,843 as per the given fractions.

GCF of 709,843 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9735,2655

LCM of Fractions 9735/709,2655/843 is 29205

3 9735, 2655
5 3245, 885
59 649, 177
11, 3

∴ So the LCM of the given numbers is 3 x 5 x 59 x 11 x 3 = 29205

Least Common Multiple of 9735,2655 with GCF Formula

Least Common Multiple of 9735,2655 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 9735,2655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9735,2655) = 885

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

GCF(9735,2655) x common factors =885 x 1 = 885

LCM(9735,2655) = ( 9735 × 2655 ) / 885

LCM(9735,2655) = 25846425 / 885

LCM(9735,2655) = 29205


Lets's calculate GCF of 709,843

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29205/1

Therefore the LCM of Fractions 9735/709,2655/843 is 29205

Greatest Common Factor of 709,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 709,843 By Matching Biggest Common Factor Method

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 709,843 . The biggest common factor number is the GCF number.
So the greatest common factor 709,843 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 9735/709, 2655/843

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 9735/709, 2655/843?

Answer: LCM of Numerators as per given numbers 9735/709, 2655/843 is

LCM of Numerators i.e. for 9735,2655 is 29205

GCF of denominators i.e. for 709,843 is 1.

Thus, LCM of Fractions is 29205.Finally, LCM of Fractions for 9735/709, 2655/843 is 29205.