Least Common Multiple of 200/54, 576/14, 250/73

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 200/54, 576/14, 250/73 quickly i.e. 72000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 200/54, 576/14, 250/73 is 72000.

LCM(200/54, 576/14, 250/73) = 72000

LCM of 200/54, 576/14, 250/73

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 200/54,576/14,250/73

Given numbers are 200/54,576/14,250/73

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 200,576,250

Least Common Multiple of Numerators i.e. LCM of 200,576,250 is 72000.

GCF of Denominators means GCF of 54,14,73 as per the given fractions.

GCF of 54,14,73 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 200,576,250

LCM of Fractions 200/54,576/14,250/73 is 72000

2 200, 576, 250
2 100, 288, 125
2 50, 144, 125
5 25, 72, 125
5 5, 72, 25
1, 72, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 5 x 1 x 72 x 5 = 72000

Least Common Multiple of 200,576,250 with GCF Formula

Least Common Multiple of 200,576,250 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 200,576,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,576,250) = 2

common factors(in case of two or more numbers have common factors) = 200

GCF(200,576,250) x common factors =2 x 200 = 400

LCM(200,576,250) = ( 200 × 576 × 250 ) / 400

LCM(200,576,250) = 28800000 / 400

LCM(200,576,250) = 72000


Lets's calculate GCF of 54,14,73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72000/1

Therefore the LCM of Fractions 200/54,576/14,250/73 is 72000

Greatest Common Factor of 54,14,73 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,14,73 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 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Greatest Common Factor

We found the factors 54,14,73 . The biggest common factor number is the GCF number.
So the greatest common factor 54,14,73 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 200/54, 576/14, 250/73

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 200/54, 576/14, 250/73?

Answer: LCM of Numerators as per given numbers 200/54, 576/14, 250/73 is

LCM of Numerators i.e. for 200,576,250 is 72000

GCF of denominators i.e. for 54,14,73 is 1.

Thus, LCM of Fractions is 72000.Finally, LCM of Fractions for 200/54, 576/14, 250/73 is 72000.