Least Common Multiple of 83/29, 32/810, 189/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/29, 32/810, 189/965 quickly i.e. 501984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/29, 32/810, 189/965 is 501984.

LCM(83/29, 32/810, 189/965) = 501984

LCM of 83/29, 32/810, 189/965

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 83/29,32/810,189/965

Given numbers are 83/29,32/810,189/965

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 83,32,189

Least Common Multiple of Numerators i.e. LCM of 83,32,189 is 501984.

GCF of Denominators means GCF of 29,810,965 as per the given fractions.

GCF of 29,810,965 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,32,189

LCM of Fractions 83/29,32/810,189/965 is 501984

Given numbers has no common factors except 1. So, there LCM is their product i.e 501984

Least Common Multiple of 83,32,189 with GCF Formula

Least Common Multiple of 83,32,189 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 83,32,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,32,189) = 1

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

GCF(83,32,189) x common factors =1 x 1 = 1

LCM(83,32,189) = ( 83 × 32 × 189 ) / 1

LCM(83,32,189) = 501984 / 1

LCM(83,32,189) = 501984


Lets's calculate GCF of 29,810,965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 501984/1

Therefore the LCM of Fractions 83/29,32/810,189/965 is 501984

Greatest Common Factor of 29,810,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,810,965 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 29,810,965 . The biggest common factor number is the GCF number.
So the greatest common factor 29,810,965 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 83/29, 32/810, 189/965

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 83/29, 32/810, 189/965?

Answer: LCM of Numerators as per given numbers 83/29, 32/810, 189/965 is

LCM of Numerators i.e. for 83,32,189 is 501984

GCF of denominators i.e. for 29,810,965 is 1.

Thus, LCM of Fractions is 501984.Finally, LCM of Fractions for 83/29, 32/810, 189/965 is 501984.