Least Common Multiple of 71/82, 86/86, 883/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/82, 86/86, 883/698 quickly i.e. 2695799 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/82, 86/86, 883/698 is 2695799.

LCM(71/82, 86/86, 883/698) = 2695799

LCM of 71/82, 86/86, 883/698

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 71/82,86/86,883/698

Given numbers are 71/82,86/86,883/698

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 71,86,883

Least Common Multiple of Numerators i.e. LCM of 71,86,883 is 5391598.

GCF of Denominators means GCF of 82,86,698 as per the given fractions.

GCF of 82,86,698 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,86,883

LCM of Fractions 71/82,86/86,883/698 is 2695799

Given numbers has no common factors except 1. So, there LCM is their product i.e 5391598

Least Common Multiple of 71,86,883 with GCF Formula

Least Common Multiple of 71,86,883 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 71,86,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,86,883) = 1

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

GCF(71,86,883) x common factors =1 x 1 = 1

LCM(71,86,883) = ( 71 × 86 × 883 ) / 1

LCM(71,86,883) = 5391598 / 1

LCM(71,86,883) = 5391598


Lets's calculate GCF of 82,86,698

2 82, 86, 698
41, 43, 349

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5391598/2

Therefore the LCM of Fractions 71/82,86/86,883/698 is 2695799

Greatest Common Factor of 82,86,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,86,698 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 82,86,698 . The biggest common factor number is the GCF number.
So the greatest common factor 82,86,698 is 2.


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 71/82, 86/86, 883/698

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 71/82, 86/86, 883/698?

Answer: LCM of Numerators as per given numbers 71/82, 86/86, 883/698 is

LCM of Numerators i.e. for 71,86,883 is 5391598

GCF of denominators i.e. for 82,86,698 is 2.

Thus, LCM of Fractions is 2695799.Finally, LCM of Fractions for 71/82, 86/86, 883/698 is 2695799.