Least Common Multiple of 27/225, 77/798, 521/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/225, 77/798, 521/807 quickly i.e. 361053 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/225, 77/798, 521/807 is 361053.

LCM(27/225, 77/798, 521/807) = 361053

LCM of 27/225, 77/798, 521/807

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 27/225,77/798,521/807

Given numbers are 27/225,77/798,521/807

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 27,77,521

Least Common Multiple of Numerators i.e. LCM of 27,77,521 is 1083159.

GCF of Denominators means GCF of 225,798,807 as per the given fractions.

GCF of 225,798,807 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,77,521

LCM of Fractions 27/225,77/798,521/807 is 361053

Given numbers has no common factors except 1. So, there LCM is their product i.e 1083159

Least Common Multiple of 27,77,521 with GCF Formula

Least Common Multiple of 27,77,521 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 27,77,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,77,521) = 1

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

GCF(27,77,521) x common factors =1 x 1 = 1

LCM(27,77,521) = ( 27 × 77 × 521 ) / 1

LCM(27,77,521) = 1083159 / 1

LCM(27,77,521) = 1083159


Lets's calculate GCF of 225,798,807

3 225, 798, 807
75, 266, 269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1083159/3

Therefore the LCM of Fractions 27/225,77/798,521/807 is 361053

Greatest Common Factor of 225,798,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,798,807 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 225,798,807 . The biggest common factor number is the GCF number.
So the greatest common factor 225,798,807 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 27/225, 77/798, 521/807

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 27/225, 77/798, 521/807?

Answer: LCM of Numerators as per given numbers 27/225, 77/798, 521/807 is

LCM of Numerators i.e. for 27,77,521 is 1083159

GCF of denominators i.e. for 225,798,807 is 3.

Thus, LCM of Fractions is 361053.Finally, LCM of Fractions for 27/225, 77/798, 521/807 is 361053.