Least Common Multiple of 801/893, 409/541, 344/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 801/893, 409/541, 344/516 quickly i.e. 112697496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 801/893, 409/541, 344/516 is 112697496.

LCM(801/893, 409/541, 344/516) = 112697496

LCM of 801/893, 409/541, 344/516

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 801/893,409/541,344/516

Given numbers are 801/893,409/541,344/516

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 801,409,344

Least Common Multiple of Numerators i.e. LCM of 801,409,344 is 112697496.

GCF of Denominators means GCF of 893,541,516 as per the given fractions.

GCF of 893,541,516 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 801,409,344

LCM of Fractions 801/893,409/541,344/516 is 112697496

Given numbers has no common factors except 1. So, there LCM is their product i.e 112697496

Least Common Multiple of 801,409,344 with GCF Formula

Least Common Multiple of 801,409,344 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 801,409,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(801,409,344) = 1

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

GCF(801,409,344) x common factors =1 x 1 = 1

LCM(801,409,344) = ( 801 × 409 × 344 ) / 1

LCM(801,409,344) = 112697496 / 1

LCM(801,409,344) = 112697496


Lets's calculate GCF of 893,541,516

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112697496/1

Therefore the LCM of Fractions 801/893,409/541,344/516 is 112697496

Greatest Common Factor of 893,541,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,541,516 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 893,541,516 . The biggest common factor number is the GCF number.
So the greatest common factor 893,541,516 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 801/893, 409/541, 344/516

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 801/893, 409/541, 344/516?

Answer: LCM of Numerators as per given numbers 801/893, 409/541, 344/516 is

LCM of Numerators i.e. for 801,409,344 is 112697496

GCF of denominators i.e. for 893,541,516 is 1.

Thus, LCM of Fractions is 112697496.Finally, LCM of Fractions for 801/893, 409/541, 344/516 is 112697496.