Least Common Multiple of 51/13, 17/36, 199/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/13, 17/36, 199/369 quickly i.e. 10149 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/13, 17/36, 199/369 is 10149.

LCM(51/13, 17/36, 199/369) = 10149

LCM of 51/13, 17/36, 199/369

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 51/13,17/36,199/369

Given numbers are 51/13,17/36,199/369

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 51,17,199

Least Common Multiple of Numerators i.e. LCM of 51,17,199 is 10149.

GCF of Denominators means GCF of 13,36,369 as per the given fractions.

GCF of 13,36,369 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,17,199

LCM of Fractions 51/13,17/36,199/369 is 10149

17 51, 17, 199
3, 1, 199

∴ So the LCM of the given numbers is 17 x 3 x 1 x 199 = 10149

Least Common Multiple of 51,17,199 with GCF Formula

Least Common Multiple of 51,17,199 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 51,17,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,17,199) = 1

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

GCF(51,17,199) x common factors =1 x 17 = 17

LCM(51,17,199) = ( 51 × 17 × 199 ) / 17

LCM(51,17,199) = 172533 / 17

LCM(51,17,199) = 10149


Lets's calculate GCF of 13,36,369

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10149/1

Therefore the LCM of Fractions 51/13,17/36,199/369 is 10149

Greatest Common Factor of 13,36,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,36,369 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 13,36,369 . The biggest common factor number is the GCF number.
So the greatest common factor 13,36,369 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 51/13, 17/36, 199/369

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 51/13, 17/36, 199/369?

Answer: LCM of Numerators as per given numbers 51/13, 17/36, 199/369 is

LCM of Numerators i.e. for 51,17,199 is 10149

GCF of denominators i.e. for 13,36,369 is 1.

Thus, LCM of Fractions is 10149.Finally, LCM of Fractions for 51/13, 17/36, 199/369 is 10149.