Least Common Multiple of 83/801, 827/861, 588/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/801, 827/861, 588/470 quickly i.e. 40360908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/801, 827/861, 588/470 is 40360908.

LCM(83/801, 827/861, 588/470) = 40360908

LCM of 83/801, 827/861, 588/470

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 83/801,827/861,588/470

Given numbers are 83/801,827/861,588/470

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 83,827,588

Least Common Multiple of Numerators i.e. LCM of 83,827,588 is 40360908.

GCF of Denominators means GCF of 801,861,470 as per the given fractions.

GCF of 801,861,470 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,827,588

LCM of Fractions 83/801,827/861,588/470 is 40360908

Given numbers has no common factors except 1. So, there LCM is their product i.e 40360908

Least Common Multiple of 83,827,588 with GCF Formula

Least Common Multiple of 83,827,588 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 83,827,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,827,588) = 1

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

GCF(83,827,588) x common factors =1 x 1 = 1

LCM(83,827,588) = ( 83 × 827 × 588 ) / 1

LCM(83,827,588) = 40360908 / 1

LCM(83,827,588) = 40360908


Lets's calculate GCF of 801,861,470

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40360908/1

Therefore the LCM of Fractions 83/801,827/861,588/470 is 40360908

Greatest Common Factor of 801,861,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 801,861,470 By Matching Biggest Common Factor Method

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 801,861,470 . The biggest common factor number is the GCF number.
So the greatest common factor 801,861,470 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 83/801, 827/861, 588/470

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 83/801, 827/861, 588/470?

Answer: LCM of Numerators as per given numbers 83/801, 827/861, 588/470 is

LCM of Numerators i.e. for 83,827,588 is 40360908

GCF of denominators i.e. for 801,861,470 is 1.

Thus, LCM of Fractions is 40360908.Finally, LCM of Fractions for 83/801, 827/861, 588/470 is 40360908.