Least Common Multiple of 27/810, 50/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/810, 50/725 quickly i.e. 270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/810, 50/725 is 270.

LCM(27/810, 50/725) = 270

LCM of 27/810, 50/725

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 27/810,50/725

Given numbers are 27/810,50/725

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 27,50

Least Common Multiple of Numerators i.e. LCM of 27,50 is 1350.

GCF of Denominators means GCF of 810,725 as per the given fractions.

GCF of 810,725 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,50

LCM of Fractions 27/810,50/725 is 270

Given numbers has no common factors except 1. So, there LCM is their product i.e 1350

Least Common Multiple of 27,50 with GCF Formula

Least Common Multiple of 27,50 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 27,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,50) = 1

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

GCF(27,50) x common factors =1 x 1 = 1

LCM(27,50) = ( 27 × 50 ) / 1

LCM(27,50) = 1350 / 1

LCM(27,50) = 1350


Lets's calculate GCF of 810,725

5 810, 725
162, 145

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1350/5

Therefore the LCM of Fractions 27/810,50/725 is 270

Greatest Common Factor of 810,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,725 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 810,725 . The biggest common factor number is the GCF number.
So the greatest common factor 810,725 is 5.


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 27/810, 50/725

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 27/810, 50/725?

Answer: LCM of Numerators as per given numbers 27/810, 50/725 is

LCM of Numerators i.e. for 27,50 is 1350

GCF of denominators i.e. for 810,725 is 5.

Thus, LCM of Fractions is 270.Finally, LCM of Fractions for 27/810, 50/725 is 270.