Least Common Multiple of 51/26, 261/61, 171/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/26, 261/61, 171/833 quickly i.e. 84303 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/26, 261/61, 171/833 is 84303.

LCM(51/26, 261/61, 171/833) = 84303

LCM of 51/26, 261/61, 171/833

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 51/26,261/61,171/833

Given numbers are 51/26,261/61,171/833

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 51,261,171

Least Common Multiple of Numerators i.e. LCM of 51,261,171 is 84303.

GCF of Denominators means GCF of 26,61,833 as per the given fractions.

GCF of 26,61,833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,261,171

LCM of Fractions 51/26,261/61,171/833 is 84303

3 51, 261, 171
3 17, 87, 57
17, 29, 19

∴ So the LCM of the given numbers is 3 x 3 x 17 x 29 x 19 = 84303

Least Common Multiple of 51,261,171 with GCF Formula

Least Common Multiple of 51,261,171 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 51,261,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,261,171) = 3

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

GCF(51,261,171) x common factors =3 x 9 = 27

LCM(51,261,171) = ( 51 × 261 × 171 ) / 27

LCM(51,261,171) = 2276181 / 27

LCM(51,261,171) = 84303


Lets's calculate GCF of 26,61,833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84303/1

Therefore the LCM of Fractions 51/26,261/61,171/833 is 84303

Greatest Common Factor of 26,61,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,61,833 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 26,61,833 . The biggest common factor number is the GCF number.
So the greatest common factor 26,61,833 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 51/26, 261/61, 171/833

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 51/26, 261/61, 171/833?

Answer: LCM of Numerators as per given numbers 51/26, 261/61, 171/833 is

LCM of Numerators i.e. for 51,261,171 is 84303

GCF of denominators i.e. for 26,61,833 is 1.

Thus, LCM of Fractions is 84303.Finally, LCM of Fractions for 51/26, 261/61, 171/833 is 84303.