Least Common Multiple of 51/51, 13/42, 238/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/51, 13/42, 238/399 quickly i.e. 3094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/51, 13/42, 238/399 is 3094.

LCM(51/51, 13/42, 238/399) = 3094

LCM of 51/51, 13/42, 238/399

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 51/51,13/42,238/399

Given numbers are 51/51,13/42,238/399

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 51,13,238

Least Common Multiple of Numerators i.e. LCM of 51,13,238 is 9282.

GCF of Denominators means GCF of 51,42,399 as per the given fractions.

GCF of 51,42,399 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,13,238

LCM of Fractions 51/51,13/42,238/399 is 3094

17 51, 13, 238
3, 13, 14

∴ So the LCM of the given numbers is 17 x 3 x 13 x 14 = 9282

Least Common Multiple of 51,13,238 with GCF Formula

Least Common Multiple of 51,13,238 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 51,13,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,13,238) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(51,13,238) x common factors =1 x 17 = 17

LCM(51,13,238) = ( 51 × 13 × 238 ) / 17

LCM(51,13,238) = 157794 / 17

LCM(51,13,238) = 9282


Lets's calculate GCF of 51,42,399

3 51, 42, 399
17, 14, 133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9282/3

Therefore the LCM of Fractions 51/51,13/42,238/399 is 3094

Greatest Common Factor of 51,42,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,42,399 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 51,42,399 . The biggest common factor number is the GCF number.
So the greatest common factor 51,42,399 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 51/51, 13/42, 238/399

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 51/51, 13/42, 238/399?

Answer: LCM of Numerators as per given numbers 51/51, 13/42, 238/399 is

LCM of Numerators i.e. for 51,13,238 is 9282

GCF of denominators i.e. for 51,42,399 is 3.

Thus, LCM of Fractions is 3094.Finally, LCM of Fractions for 51/51, 13/42, 238/399 is 3094.