Least Common Multiple of 87/71, 82/389, 526/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/71, 82/389, 526/195 quickly i.e. 1876242 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/71, 82/389, 526/195 is 1876242.

LCM(87/71, 82/389, 526/195) = 1876242

LCM of 87/71, 82/389, 526/195

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 87/71,82/389,526/195

Given numbers are 87/71,82/389,526/195

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 87,82,526

Least Common Multiple of Numerators i.e. LCM of 87,82,526 is 1876242.

GCF of Denominators means GCF of 71,389,195 as per the given fractions.

GCF of 71,389,195 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,82,526

LCM of Fractions 87/71,82/389,526/195 is 1876242

2 87, 82, 526
87, 41, 263

∴ So the LCM of the given numbers is 2 x 87 x 41 x 263 = 1876242

Least Common Multiple of 87,82,526 with GCF Formula

Least Common Multiple of 87,82,526 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 87,82,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,82,526) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(87,82,526) x common factors =1 x 2 = 2

LCM(87,82,526) = ( 87 × 82 × 526 ) / 2

LCM(87,82,526) = 3752484 / 2

LCM(87,82,526) = 1876242


Lets's calculate GCF of 71,389,195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1876242/1

Therefore the LCM of Fractions 87/71,82/389,526/195 is 1876242

Greatest Common Factor of 71,389,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,389,195 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 71,389,195 . The biggest common factor number is the GCF number.
So the greatest common factor 71,389,195 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 87/71, 82/389, 526/195

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 87/71, 82/389, 526/195?

Answer: LCM of Numerators as per given numbers 87/71, 82/389, 526/195 is

LCM of Numerators i.e. for 87,82,526 is 1876242

GCF of denominators i.e. for 71,389,195 is 1.

Thus, LCM of Fractions is 1876242.Finally, LCM of Fractions for 87/71, 82/389, 526/195 is 1876242.