Least Common Multiple of 51/13, 99/32, 57/83, 69/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/13, 99/32, 57/83, 69/214 quickly i.e. 735471 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, 99/32, 57/83, 69/214 is 735471.

LCM(51/13, 99/32, 57/83, 69/214) = 735471

LCM of 51/13, 99/32, 57/83, 69/214

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 51/13,99/32,57/83,69/214

Given numbers are 51/13,99/32,57/83,69/214

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 51,99,57,69

Least Common Multiple of Numerators i.e. LCM of 51,99,57,69 is 735471.

GCF of Denominators means GCF of 13,32,83,214 as per the given fractions.

GCF of 13,32,83,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,99,57,69

LCM of Fractions 51/13,99/32,57/83,69/214 is 735471

3 51, 99, 57, 69
17, 33, 19, 23

∴ So the LCM of the given numbers is 3 x 17 x 33 x 19 x 23 = 735471

Least Common Multiple of 51,99,57,69 with GCF Formula

Least Common Multiple of 51,99,57,69 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 51,99,57,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,99,57,69) = 3

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

GCF(51,99,57,69) x common factors =3 x 9 = 27

LCM(51,99,57,69) = ( 51 × 99 × 57 × 69 ) / 27

LCM(51,99,57,69) = 19857717 / 27

LCM(51,99,57,69) = 735471


Lets's calculate GCF of 13,32,83,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 735471/1

Therefore the LCM of Fractions 51/13,99/32,57/83,69/214 is 735471

Greatest Common Factor of 13,32,83,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,32,83,214 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 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 13,32,83,214 . The biggest common factor number is the GCF number.
So the greatest common factor 13,32,83,214 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, 99/32, 57/83, 69/214

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, 99/32, 57/83, 69/214?

Answer: LCM of Numerators as per given numbers 51/13, 99/32, 57/83, 69/214 is

LCM of Numerators i.e. for 51,99,57,69 is 735471

GCF of denominators i.e. for 13,32,83,214 is 1.

Thus, LCM of Fractions is 735471.Finally, LCM of Fractions for 51/13, 99/32, 57/83, 69/214 is 735471.