Least Common Multiple of 726/204, 9636/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/204, 9636/969 quickly i.e. 105996/51 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/204, 9636/969 is 105996/51.

LCM(726/204, 9636/969) = 105996/51

LCM of 726/204, 9636/969

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 726/204,9636/969

Given numbers are 726/204,9636/969

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 726,9636

Least Common Multiple of Numerators i.e. LCM of 726,9636 is 105996.

GCF of Denominators means GCF of 204,969 as per the given fractions.

GCF of 204,969 is 51 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,9636

LCM of Fractions 726/204,9636/969 is 105996/51

2 726, 9636
3 363, 4818
11 121, 1606
11, 146

∴ So the LCM of the given numbers is 2 x 3 x 11 x 11 x 146 = 105996

Least Common Multiple of 726,9636 with GCF Formula

Least Common Multiple of 726,9636 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 726,9636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,9636) = 66

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

GCF(726,9636) x common factors =66 x 1 = 66

LCM(726,9636) = ( 726 × 9636 ) / 66

LCM(726,9636) = 6995736 / 66

LCM(726,9636) = 105996


Lets's calculate GCF of 204,969

3 204, 969
17 68, 323
4, 19

∴ So the GCF of the given numbers is 3 x 17 = 51

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105996/51

Therefore the LCM of Fractions 726/204,9636/969 is 105996/51

Greatest Common Factor of 204,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,969 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 204,969 . The biggest common factor number is the GCF number.
So the greatest common factor 204,969 is 51.


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 726/204, 9636/969

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 726/204, 9636/969?

Answer: LCM of Numerators as per given numbers 726/204, 9636/969 is

LCM of Numerators i.e. for 726,9636 is 105996

GCF of denominators i.e. for 204,969 is 51.

Thus, LCM of Fractions is 105996/51.Finally, LCM of Fractions for 726/204, 9636/969 is 105996/51.