Least Common Multiple of 48/31, 13/36, 27/69, 23/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/31, 13/36, 27/69, 23/416 quickly i.e. 129168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/31, 13/36, 27/69, 23/416 is 129168.

LCM(48/31, 13/36, 27/69, 23/416) = 129168

LCM of 48/31, 13/36, 27/69, 23/416

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 48/31,13/36,27/69,23/416

Given numbers are 48/31,13/36,27/69,23/416

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 48,13,27,23

Least Common Multiple of Numerators i.e. LCM of 48,13,27,23 is 129168.

GCF of Denominators means GCF of 31,36,69,416 as per the given fractions.

GCF of 31,36,69,416 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,13,27,23

LCM of Fractions 48/31,13/36,27/69,23/416 is 129168

3 48, 13, 27, 23
16, 13, 9, 23

∴ So the LCM of the given numbers is 3 x 16 x 13 x 9 x 23 = 129168

Least Common Multiple of 48,13,27,23 with GCF Formula

Least Common Multiple of 48,13,27,23 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 48,13,27,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,13,27,23) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(48,13,27,23) x common factors =1 x 3 = 3

LCM(48,13,27,23) = ( 48 × 13 × 27 × 23 ) / 3

LCM(48,13,27,23) = 387504 / 3

LCM(48,13,27,23) = 129168


Lets's calculate GCF of 31,36,69,416

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129168/1

Therefore the LCM of Fractions 48/31,13/36,27/69,23/416 is 129168

Greatest Common Factor of 31,36,69,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,36,69,416 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

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 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 31,36,69,416 . The biggest common factor number is the GCF number.
So the greatest common factor 31,36,69,416 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 48/31, 13/36, 27/69, 23/416

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 48/31, 13/36, 27/69, 23/416?

Answer: LCM of Numerators as per given numbers 48/31, 13/36, 27/69, 23/416 is

LCM of Numerators i.e. for 48,13,27,23 is 129168

GCF of denominators i.e. for 31,36,69,416 is 1.

Thus, LCM of Fractions is 129168.Finally, LCM of Fractions for 48/31, 13/36, 27/69, 23/416 is 129168.