Least Common Multiple of 804/893, 9017/5681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 804/893, 9017/5681 quickly i.e. 7249668/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 804/893, 9017/5681 is 7249668/19.

LCM(804/893, 9017/5681) = 7249668/19

LCM of 804/893, 9017/5681

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 804/893,9017/5681

Given numbers are 804/893,9017/5681

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 804,9017

Least Common Multiple of Numerators i.e. LCM of 804,9017 is 7249668.

GCF of Denominators means GCF of 893,5681 as per the given fractions.

GCF of 893,5681 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 804,9017

LCM of Fractions 804/893,9017/5681 is 7249668/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 7249668

Least Common Multiple of 804,9017 with GCF Formula

Least Common Multiple of 804,9017 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 804,9017 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,9017) = 1

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

GCF(804,9017) x common factors =1 x 1 = 1

LCM(804,9017) = ( 804 × 9017 ) / 1

LCM(804,9017) = 7249668 / 1

LCM(804,9017) = 7249668


Lets's calculate GCF of 893,5681

19 893, 5681
47, 299

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7249668/19

Therefore the LCM of Fractions 804/893,9017/5681 is 7249668/19

Greatest Common Factor of 893,5681 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,5681 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 5681

List of positive integer factors of 5681 that divides 5681 without a remainder.

1,13,19,23,247,299,437,5681

Greatest Common Factor

We found the factors 893,5681 . The biggest common factor number is the GCF number.
So the greatest common factor 893,5681 is 19.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 804/893, 9017/5681

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 804/893, 9017/5681?

Answer: LCM of Numerators as per given numbers 804/893, 9017/5681 is

LCM of Numerators i.e. for 804,9017 is 7249668

GCF of denominators i.e. for 893,5681 is 19.

Thus, LCM of Fractions is 7249668/19.Finally, LCM of Fractions for 804/893, 9017/5681 is 7249668/19.