Least Common Multiple of 36/54, 44/204, 735/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/54, 44/204, 735/969 quickly i.e. 32340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/54, 44/204, 735/969 is 32340.

LCM(36/54, 44/204, 735/969) = 32340

LCM of 36/54, 44/204, 735/969

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 36/54,44/204,735/969

Given numbers are 36/54,44/204,735/969

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 36,44,735

Least Common Multiple of Numerators i.e. LCM of 36,44,735 is 97020.

GCF of Denominators means GCF of 54,204,969 as per the given fractions.

GCF of 54,204,969 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,44,735

LCM of Fractions 36/54,44/204,735/969 is 32340

2 36, 44, 735
2 18, 22, 735
3 9, 11, 735
3, 11, 245

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 11 x 245 = 97020

Least Common Multiple of 36,44,735 with GCF Formula

Least Common Multiple of 36,44,735 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 36,44,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,44,735) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(36,44,735) x common factors =1 x 12 = 12

LCM(36,44,735) = ( 36 × 44 × 735 ) / 12

LCM(36,44,735) = 1164240 / 12

LCM(36,44,735) = 97020


Lets's calculate GCF of 54,204,969

3 54, 204, 969
18, 68, 323

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97020/3

Therefore the LCM of Fractions 36/54,44/204,735/969 is 32340

Greatest Common Factor of 54,204,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,204,969 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

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 54,204,969 . The biggest common factor number is the GCF number.
So the greatest common factor 54,204,969 is 3.


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 36/54, 44/204, 735/969

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 36/54, 44/204, 735/969?

Answer: LCM of Numerators as per given numbers 36/54, 44/204, 735/969 is

LCM of Numerators i.e. for 36,44,735 is 97020

GCF of denominators i.e. for 54,204,969 is 3.

Thus, LCM of Fractions is 32340.Finally, LCM of Fractions for 36/54, 44/204, 735/969 is 32340.