Least Common Multiple of 71/721, 36/385, 341/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/721, 36/385, 341/802 quickly i.e. 871596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/721, 36/385, 341/802 is 871596.

LCM(71/721, 36/385, 341/802) = 871596

LCM of 71/721, 36/385, 341/802

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 71/721,36/385,341/802

Given numbers are 71/721,36/385,341/802

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 71,36,341

Least Common Multiple of Numerators i.e. LCM of 71,36,341 is 871596.

GCF of Denominators means GCF of 721,385,802 as per the given fractions.

GCF of 721,385,802 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,36,341

LCM of Fractions 71/721,36/385,341/802 is 871596

Given numbers has no common factors except 1. So, there LCM is their product i.e 871596

Least Common Multiple of 71,36,341 with GCF Formula

Least Common Multiple of 71,36,341 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 71,36,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,36,341) = 1

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

GCF(71,36,341) x common factors =1 x 1 = 1

LCM(71,36,341) = ( 71 × 36 × 341 ) / 1

LCM(71,36,341) = 871596 / 1

LCM(71,36,341) = 871596


Lets's calculate GCF of 721,385,802

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 871596/1

Therefore the LCM of Fractions 71/721,36/385,341/802 is 871596

Greatest Common Factor of 721,385,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,385,802 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 721,385,802 . The biggest common factor number is the GCF number.
So the greatest common factor 721,385,802 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 71/721, 36/385, 341/802

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 71/721, 36/385, 341/802?

Answer: LCM of Numerators as per given numbers 71/721, 36/385, 341/802 is

LCM of Numerators i.e. for 71,36,341 is 871596

GCF of denominators i.e. for 721,385,802 is 1.

Thus, LCM of Fractions is 871596.Finally, LCM of Fractions for 71/721, 36/385, 341/802 is 871596.