Least Common Multiple of 13/49, 63/40, 84/27, 38/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/49, 63/40, 84/27, 38/916 quickly i.e. 62244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/49, 63/40, 84/27, 38/916 is 62244.

LCM(13/49, 63/40, 84/27, 38/916) = 62244

LCM of 13/49, 63/40, 84/27, 38/916

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 13/49,63/40,84/27,38/916

Given numbers are 13/49,63/40,84/27,38/916

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 13,63,84,38

Least Common Multiple of Numerators i.e. LCM of 13,63,84,38 is 62244.

GCF of Denominators means GCF of 49,40,27,916 as per the given fractions.

GCF of 49,40,27,916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,63,84,38

LCM of Fractions 13/49,63/40,84/27,38/916 is 62244

2 13, 63, 84, 38
3 13, 63, 42, 19
7 13, 21, 14, 19
13, 3, 2, 19

∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 3 x 2 x 19 = 62244

Least Common Multiple of 13,63,84,38 with GCF Formula

Least Common Multiple of 13,63,84,38 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 13,63,84,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,63,84,38) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(13,63,84,38) x common factors =1 x 42 = 42

LCM(13,63,84,38) = ( 13 × 63 × 84 × 38 ) / 42

LCM(13,63,84,38) = 2614248 / 42

LCM(13,63,84,38) = 62244


Lets's calculate GCF of 49,40,27,916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62244/1

Therefore the LCM of Fractions 13/49,63/40,84/27,38/916 is 62244

Greatest Common Factor of 49,40,27,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,40,27,916 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 27

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

1,3,9,27

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 49,40,27,916 . The biggest common factor number is the GCF number.
So the greatest common factor 49,40,27,916 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 13/49, 63/40, 84/27, 38/916

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 13/49, 63/40, 84/27, 38/916?

Answer: LCM of Numerators as per given numbers 13/49, 63/40, 84/27, 38/916 is

LCM of Numerators i.e. for 13,63,84,38 is 62244

GCF of denominators i.e. for 49,40,27,916 is 1.

Thus, LCM of Fractions is 62244.Finally, LCM of Fractions for 13/49, 63/40, 84/27, 38/916 is 62244.