Least Common Multiple of 900/286, 202/549, 204/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/286, 202/549, 204/543 quickly i.e. 1545300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/286, 202/549, 204/543 is 1545300.

LCM(900/286, 202/549, 204/543) = 1545300

LCM of 900/286, 202/549, 204/543

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 900/286,202/549,204/543

Given numbers are 900/286,202/549,204/543

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 900,202,204

Least Common Multiple of Numerators i.e. LCM of 900,202,204 is 1545300.

GCF of Denominators means GCF of 286,549,543 as per the given fractions.

GCF of 286,549,543 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,202,204

LCM of Fractions 900/286,202/549,204/543 is 1545300

2 900, 202, 204
2 450, 101, 102
3 225, 101, 51
75, 101, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 75 x 101 x 17 = 1545300

Least Common Multiple of 900,202,204 with GCF Formula

Least Common Multiple of 900,202,204 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 900,202,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,202,204) = 2

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

GCF(900,202,204) x common factors =2 x 12 = 24

LCM(900,202,204) = ( 900 × 202 × 204 ) / 24

LCM(900,202,204) = 37087200 / 24

LCM(900,202,204) = 1545300


Lets's calculate GCF of 286,549,543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1545300/1

Therefore the LCM of Fractions 900/286,202/549,204/543 is 1545300

Greatest Common Factor of 286,549,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,549,543 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 286,549,543 . The biggest common factor number is the GCF number.
So the greatest common factor 286,549,543 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 900/286, 202/549, 204/543

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 900/286, 202/549, 204/543?

Answer: LCM of Numerators as per given numbers 900/286, 202/549, 204/543 is

LCM of Numerators i.e. for 900,202,204 is 1545300

GCF of denominators i.e. for 286,549,543 is 1.

Thus, LCM of Fractions is 1545300.Finally, LCM of Fractions for 900/286, 202/549, 204/543 is 1545300.