Least Common Multiple of 16/86, 37/96, 532/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/86, 37/96, 532/790 quickly i.e. 39368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/86, 37/96, 532/790 is 39368.

LCM(16/86, 37/96, 532/790) = 39368

LCM of 16/86, 37/96, 532/790

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 16/86,37/96,532/790

Given numbers are 16/86,37/96,532/790

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 16,37,532

Least Common Multiple of Numerators i.e. LCM of 16,37,532 is 78736.

GCF of Denominators means GCF of 86,96,790 as per the given fractions.

GCF of 86,96,790 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,37,532

LCM of Fractions 16/86,37/96,532/790 is 39368

2 16, 37, 532
2 8, 37, 266
4, 37, 133

∴ So the LCM of the given numbers is 2 x 2 x 4 x 37 x 133 = 78736

Least Common Multiple of 16,37,532 with GCF Formula

Least Common Multiple of 16,37,532 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 16,37,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,37,532) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(16,37,532) x common factors =1 x 4 = 4

LCM(16,37,532) = ( 16 × 37 × 532 ) / 4

LCM(16,37,532) = 314944 / 4

LCM(16,37,532) = 78736


Lets's calculate GCF of 86,96,790

2 86, 96, 790
43, 48, 395

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78736/2

Therefore the LCM of Fractions 16/86,37/96,532/790 is 39368

Greatest Common Factor of 86,96,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,96,790 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 86,96,790 . The biggest common factor number is the GCF number.
So the greatest common factor 86,96,790 is 2.


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 16/86, 37/96, 532/790

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 16/86, 37/96, 532/790?

Answer: LCM of Numerators as per given numbers 16/86, 37/96, 532/790 is

LCM of Numerators i.e. for 16,37,532 is 78736

GCF of denominators i.e. for 86,96,790 is 2.

Thus, LCM of Fractions is 39368.Finally, LCM of Fractions for 16/86, 37/96, 532/790 is 39368.