Least Common Multiple of 187/51, 5200/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 187/51, 5200/729 quickly i.e. 972400/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 187/51, 5200/729 is 972400/3.

LCM(187/51, 5200/729) = 972400/3

LCM of 187/51, 5200/729

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 187/51,5200/729

Given numbers are 187/51,5200/729

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 187,5200

Least Common Multiple of Numerators i.e. LCM of 187,5200 is 972400.

GCF of Denominators means GCF of 51,729 as per the given fractions.

GCF of 51,729 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 187,5200

LCM of Fractions 187/51,5200/729 is 972400/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 972400

Least Common Multiple of 187,5200 with GCF Formula

Least Common Multiple of 187,5200 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 187,5200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,5200) = 1

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

GCF(187,5200) x common factors =1 x 1 = 1

LCM(187,5200) = ( 187 × 5200 ) / 1

LCM(187,5200) = 972400 / 1

LCM(187,5200) = 972400


Lets's calculate GCF of 51,729

3 51, 729
17, 243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 972400/3

Therefore the LCM of Fractions 187/51,5200/729 is 972400/3

Greatest Common Factor of 51,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,729 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 51,729 . The biggest common factor number is the GCF number.
So the greatest common factor 51,729 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 187/51, 5200/729

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 187/51, 5200/729?

Answer: LCM of Numerators as per given numbers 187/51, 5200/729 is

LCM of Numerators i.e. for 187,5200 is 972400

GCF of denominators i.e. for 51,729 is 3.

Thus, LCM of Fractions is 972400/3.Finally, LCM of Fractions for 187/51, 5200/729 is 972400/3.