Least Common Multiple of 51/261, 27/268, 417/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/261, 27/268, 417/436 quickly i.e. 63801 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/261, 27/268, 417/436 is 63801.

LCM(51/261, 27/268, 417/436) = 63801

LCM of 51/261, 27/268, 417/436

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 51/261,27/268,417/436

Given numbers are 51/261,27/268,417/436

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 51,27,417

Least Common Multiple of Numerators i.e. LCM of 51,27,417 is 63801.

GCF of Denominators means GCF of 261,268,436 as per the given fractions.

GCF of 261,268,436 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,27,417

LCM of Fractions 51/261,27/268,417/436 is 63801

3 51, 27, 417
17, 9, 139

∴ So the LCM of the given numbers is 3 x 17 x 9 x 139 = 63801

Least Common Multiple of 51,27,417 with GCF Formula

Least Common Multiple of 51,27,417 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 51,27,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,27,417) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(51,27,417) x common factors =3 x 3 = 9

LCM(51,27,417) = ( 51 × 27 × 417 ) / 9

LCM(51,27,417) = 574209 / 9

LCM(51,27,417) = 63801


Lets's calculate GCF of 261,268,436

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63801/1

Therefore the LCM of Fractions 51/261,27/268,417/436 is 63801

Greatest Common Factor of 261,268,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,268,436 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Greatest Common Factor

We found the factors 261,268,436 . The biggest common factor number is the GCF number.
So the greatest common factor 261,268,436 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 51/261, 27/268, 417/436

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 51/261, 27/268, 417/436?

Answer: LCM of Numerators as per given numbers 51/261, 27/268, 417/436 is

LCM of Numerators i.e. for 51,27,417 is 63801

GCF of denominators i.e. for 261,268,436 is 1.

Thus, LCM of Fractions is 63801.Finally, LCM of Fractions for 51/261, 27/268, 417/436 is 63801.