Least Common Multiple of 16/60, 23/31, 514/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/60, 23/31, 514/136 quickly i.e. 94576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/60, 23/31, 514/136 is 94576.

LCM(16/60, 23/31, 514/136) = 94576

LCM of 16/60, 23/31, 514/136

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 16/60,23/31,514/136

Given numbers are 16/60,23/31,514/136

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 16,23,514

Least Common Multiple of Numerators i.e. LCM of 16,23,514 is 94576.

GCF of Denominators means GCF of 60,31,136 as per the given fractions.

GCF of 60,31,136 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,23,514

LCM of Fractions 16/60,23/31,514/136 is 94576

2 16, 23, 514
8, 23, 257

∴ So the LCM of the given numbers is 2 x 8 x 23 x 257 = 94576

Least Common Multiple of 16,23,514 with GCF Formula

Least Common Multiple of 16,23,514 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 16,23,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,23,514) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(16,23,514) x common factors =1 x 2 = 2

LCM(16,23,514) = ( 16 × 23 × 514 ) / 2

LCM(16,23,514) = 189152 / 2

LCM(16,23,514) = 94576


Lets's calculate GCF of 60,31,136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94576/1

Therefore the LCM of Fractions 16/60,23/31,514/136 is 94576

Greatest Common Factor of 60,31,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,31,136 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 31

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

1,31

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 60,31,136 . The biggest common factor number is the GCF number.
So the greatest common factor 60,31,136 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 16/60, 23/31, 514/136

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 16/60, 23/31, 514/136?

Answer: LCM of Numerators as per given numbers 16/60, 23/31, 514/136 is

LCM of Numerators i.e. for 16,23,514 is 94576

GCF of denominators i.e. for 60,31,136 is 1.

Thus, LCM of Fractions is 94576.Finally, LCM of Fractions for 16/60, 23/31, 514/136 is 94576.