Least Common Multiple of 39/13, 84/15, 50/27, 84/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/13, 84/15, 50/27, 84/516 quickly i.e. 27300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/13, 84/15, 50/27, 84/516 is 27300.

LCM(39/13, 84/15, 50/27, 84/516) = 27300

LCM of 39/13, 84/15, 50/27, 84/516

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 39/13,84/15,50/27,84/516

Given numbers are 39/13,84/15,50/27,84/516

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 39,84,50,84

Least Common Multiple of Numerators i.e. LCM of 39,84,50,84 is 27300.

GCF of Denominators means GCF of 13,15,27,516 as per the given fractions.

GCF of 13,15,27,516 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,84,50,84

LCM of Fractions 39/13,84/15,50/27,84/516 is 27300

2 39, 84, 50, 84
2 39, 42, 25, 42
3 39, 21, 25, 21
7 13, 7, 25, 7
13, 1, 25, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 13 x 1 x 25 x 1 = 27300

Least Common Multiple of 39,84,50,84 with GCF Formula

Least Common Multiple of 39,84,50,84 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 39,84,50,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,84,50,84) = 1

common factors(in case of two or more numbers have common factors) = 504

GCF(39,84,50,84) x common factors =1 x 504 = 504

LCM(39,84,50,84) = ( 39 × 84 × 50 × 84 ) / 504

LCM(39,84,50,84) = 13759200 / 504

LCM(39,84,50,84) = 27300


Lets's calculate GCF of 13,15,27,516

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27300/1

Therefore the LCM of Fractions 39/13,84/15,50/27,84/516 is 27300

Greatest Common Factor of 13,15,27,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,15,27,516 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 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 13,15,27,516 . The biggest common factor number is the GCF number.
So the greatest common factor 13,15,27,516 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 39/13, 84/15, 50/27, 84/516

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 39/13, 84/15, 50/27, 84/516?

Answer: LCM of Numerators as per given numbers 39/13, 84/15, 50/27, 84/516 is

LCM of Numerators i.e. for 39,84,50,84 is 27300

GCF of denominators i.e. for 13,15,27,516 is 1.

Thus, LCM of Fractions is 27300.Finally, LCM of Fractions for 39/13, 84/15, 50/27, 84/516 is 27300.