Least Common Multiple of 27/266, 210/254, 171/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/266, 210/254, 171/793 quickly i.e. 35910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/266, 210/254, 171/793 is 35910.

LCM(27/266, 210/254, 171/793) = 35910

LCM of 27/266, 210/254, 171/793

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 27/266,210/254,171/793

Given numbers are 27/266,210/254,171/793

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 27,210,171

Least Common Multiple of Numerators i.e. LCM of 27,210,171 is 35910.

GCF of Denominators means GCF of 266,254,793 as per the given fractions.

GCF of 266,254,793 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,210,171

LCM of Fractions 27/266,210/254,171/793 is 35910

3 27, 210, 171
3 9, 70, 57
3, 70, 19

∴ So the LCM of the given numbers is 3 x 3 x 3 x 70 x 19 = 35910

Least Common Multiple of 27,210,171 with GCF Formula

Least Common Multiple of 27,210,171 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 27,210,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,210,171) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(27,210,171) x common factors =3 x 9 = 27

LCM(27,210,171) = ( 27 × 210 × 171 ) / 27

LCM(27,210,171) = 969570 / 27

LCM(27,210,171) = 35910


Lets's calculate GCF of 266,254,793

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35910/1

Therefore the LCM of Fractions 27/266,210/254,171/793 is 35910

Greatest Common Factor of 266,254,793 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,254,793 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Greatest Common Factor

We found the factors 266,254,793 . The biggest common factor number is the GCF number.
So the greatest common factor 266,254,793 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 27/266, 210/254, 171/793

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 27/266, 210/254, 171/793?

Answer: LCM of Numerators as per given numbers 27/266, 210/254, 171/793 is

LCM of Numerators i.e. for 27,210,171 is 35910

GCF of denominators i.e. for 266,254,793 is 1.

Thus, LCM of Fractions is 35910.Finally, LCM of Fractions for 27/266, 210/254, 171/793 is 35910.