Least Common Multiple of 83/59, 85/19, 131/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/59, 85/19, 131/873 quickly i.e. 924205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/59, 85/19, 131/873 is 924205.

LCM(83/59, 85/19, 131/873) = 924205

LCM of 83/59, 85/19, 131/873

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 83/59,85/19,131/873

Given numbers are 83/59,85/19,131/873

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 83,85,131

Least Common Multiple of Numerators i.e. LCM of 83,85,131 is 924205.

GCF of Denominators means GCF of 59,19,873 as per the given fractions.

GCF of 59,19,873 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,85,131

LCM of Fractions 83/59,85/19,131/873 is 924205

Given numbers has no common factors except 1. So, there LCM is their product i.e 924205

Least Common Multiple of 83,85,131 with GCF Formula

Least Common Multiple of 83,85,131 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 83,85,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,85,131) = 1

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

GCF(83,85,131) x common factors =1 x 1 = 1

LCM(83,85,131) = ( 83 × 85 × 131 ) / 1

LCM(83,85,131) = 924205 / 1

LCM(83,85,131) = 924205


Lets's calculate GCF of 59,19,873

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 924205/1

Therefore the LCM of Fractions 83/59,85/19,131/873 is 924205

Greatest Common Factor of 59,19,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,19,873 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 59,19,873 . The biggest common factor number is the GCF number.
So the greatest common factor 59,19,873 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/59, 85/19, 131/873

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 83/59, 85/19, 131/873?

Answer: LCM of Numerators as per given numbers 83/59, 85/19, 131/873 is

LCM of Numerators i.e. for 83,85,131 is 924205

GCF of denominators i.e. for 59,19,873 is 1.

Thus, LCM of Fractions is 924205.Finally, LCM of Fractions for 83/59, 85/19, 131/873 is 924205.