Least Common Multiple of 71/39, 82/891, 982/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/39, 82/891, 982/188 quickly i.e. 2858602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/39, 82/891, 982/188 is 2858602.

LCM(71/39, 82/891, 982/188) = 2858602

LCM of 71/39, 82/891, 982/188

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 71/39,82/891,982/188

Given numbers are 71/39,82/891,982/188

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 71,82,982

Least Common Multiple of Numerators i.e. LCM of 71,82,982 is 2858602.

GCF of Denominators means GCF of 39,891,188 as per the given fractions.

GCF of 39,891,188 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,82,982

LCM of Fractions 71/39,82/891,982/188 is 2858602

2 71, 82, 982
71, 41, 491

∴ So the LCM of the given numbers is 2 x 71 x 41 x 491 = 2858602

Least Common Multiple of 71,82,982 with GCF Formula

Least Common Multiple of 71,82,982 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 71,82,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,82,982) = 1

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

GCF(71,82,982) x common factors =1 x 2 = 2

LCM(71,82,982) = ( 71 × 82 × 982 ) / 2

LCM(71,82,982) = 5717204 / 2

LCM(71,82,982) = 2858602


Lets's calculate GCF of 39,891,188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2858602/1

Therefore the LCM of Fractions 71/39,82/891,982/188 is 2858602

Greatest Common Factor of 39,891,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,891,188 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 39,891,188 . The biggest common factor number is the GCF number.
So the greatest common factor 39,891,188 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 71/39, 82/891, 982/188

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 71/39, 82/891, 982/188?

Answer: LCM of Numerators as per given numbers 71/39, 82/891, 982/188 is

LCM of Numerators i.e. for 71,82,982 is 2858602

GCF of denominators i.e. for 39,891,188 is 1.

Thus, LCM of Fractions is 2858602.Finally, LCM of Fractions for 71/39, 82/891, 982/188 is 2858602.