Least Common Multiple of 83/30, 73/32, 636/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/30, 73/32, 636/915 quickly i.e. 3853524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/30, 73/32, 636/915 is 3853524.

LCM(83/30, 73/32, 636/915) = 3853524

LCM of 83/30, 73/32, 636/915

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 83/30,73/32,636/915

Given numbers are 83/30,73/32,636/915

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 83,73,636

Least Common Multiple of Numerators i.e. LCM of 83,73,636 is 3853524.

GCF of Denominators means GCF of 30,32,915 as per the given fractions.

GCF of 30,32,915 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,73,636

LCM of Fractions 83/30,73/32,636/915 is 3853524

Given numbers has no common factors except 1. So, there LCM is their product i.e 3853524

Least Common Multiple of 83,73,636 with GCF Formula

Least Common Multiple of 83,73,636 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 83,73,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,73,636) = 1

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

GCF(83,73,636) x common factors =1 x 1 = 1

LCM(83,73,636) = ( 83 × 73 × 636 ) / 1

LCM(83,73,636) = 3853524 / 1

LCM(83,73,636) = 3853524


Lets's calculate GCF of 30,32,915

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3853524/1

Therefore the LCM of Fractions 83/30,73/32,636/915 is 3853524

Greatest Common Factor of 30,32,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,32,915 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 30,32,915 . The biggest common factor number is the GCF number.
So the greatest common factor 30,32,915 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/30, 73/32, 636/915

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 83/30, 73/32, 636/915?

Answer: LCM of Numerators as per given numbers 83/30, 73/32, 636/915 is

LCM of Numerators i.e. for 83,73,636 is 3853524

GCF of denominators i.e. for 30,32,915 is 1.

Thus, LCM of Fractions is 3853524.Finally, LCM of Fractions for 83/30, 73/32, 636/915 is 3853524.