Least Common Multiple of 83/39, 493/51, 393/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/39, 493/51, 393/152 quickly i.e. 16081167 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/39, 493/51, 393/152 is 16081167.

LCM(83/39, 493/51, 393/152) = 16081167

LCM of 83/39, 493/51, 393/152

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 83/39,493/51,393/152

Given numbers are 83/39,493/51,393/152

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 83,493,393

Least Common Multiple of Numerators i.e. LCM of 83,493,393 is 16081167.

GCF of Denominators means GCF of 39,51,152 as per the given fractions.

GCF of 39,51,152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,493,393

LCM of Fractions 83/39,493/51,393/152 is 16081167

Given numbers has no common factors except 1. So, there LCM is their product i.e 16081167

Least Common Multiple of 83,493,393 with GCF Formula

Least Common Multiple of 83,493,393 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 83,493,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,493,393) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(83,493,393) x common factors =1 x 1 = 1

LCM(83,493,393) = ( 83 × 493 × 393 ) / 1

LCM(83,493,393) = 16081167 / 1

LCM(83,493,393) = 16081167


Lets's calculate GCF of 39,51,152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16081167/1

Therefore the LCM of Fractions 83/39,493/51,393/152 is 16081167

Greatest Common Factor of 39,51,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,51,152 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 39,51,152 . The biggest common factor number is the GCF number.
So the greatest common factor 39,51,152 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 83/39, 493/51, 393/152

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 83/39, 493/51, 393/152?

Answer: LCM of Numerators as per given numbers 83/39, 493/51, 393/152 is

LCM of Numerators i.e. for 83,493,393 is 16081167

GCF of denominators i.e. for 39,51,152 is 1.

Thus, LCM of Fractions is 16081167.Finally, LCM of Fractions for 83/39, 493/51, 393/152 is 16081167.