Least Common Multiple of 900/849, 543/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/849, 543/204 quickly i.e. 54300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/849, 543/204 is 54300.

LCM(900/849, 543/204) = 54300

LCM of 900/849, 543/204

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 900/849,543/204

Given numbers are 900/849,543/204

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 900,543

Least Common Multiple of Numerators i.e. LCM of 900,543 is 162900.

GCF of Denominators means GCF of 849,204 as per the given fractions.

GCF of 849,204 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,543

LCM of Fractions 900/849,543/204 is 54300

3 900, 543
300, 181

∴ So the LCM of the given numbers is 3 x 300 x 181 = 162900

Least Common Multiple of 900,543 with GCF Formula

Least Common Multiple of 900,543 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 900,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,543) = 3

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

GCF(900,543) x common factors =3 x 1 = 3

LCM(900,543) = ( 900 × 543 ) / 3

LCM(900,543) = 488700 / 3

LCM(900,543) = 162900


Lets's calculate GCF of 849,204

3 849, 204
283, 68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162900/3

Therefore the LCM of Fractions 900/849,543/204 is 54300

Greatest Common Factor of 849,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,204 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

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

Greatest Common Factor

We found the factors 849,204 . The biggest common factor number is the GCF number.
So the greatest common factor 849,204 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 900/849, 543/204

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 900/849, 543/204?

Answer: LCM of Numerators as per given numbers 900/849, 543/204 is

LCM of Numerators i.e. for 900,543 is 162900

GCF of denominators i.e. for 849,204 is 3.

Thus, LCM of Fractions is 54300.Finally, LCM of Fractions for 900/849, 543/204 is 54300.