Least Common Multiple of 5017/494, 5401/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5017/494, 5401/565 quickly i.e. 27096817 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5017/494, 5401/565 is 27096817.

LCM(5017/494, 5401/565) = 27096817

LCM of 5017/494, 5401/565

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 5017/494,5401/565

Given numbers are 5017/494,5401/565

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 5017,5401

Least Common Multiple of Numerators i.e. LCM of 5017,5401 is 27096817.

GCF of Denominators means GCF of 494,565 as per the given fractions.

GCF of 494,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5017,5401

LCM of Fractions 5017/494,5401/565 is 27096817

Given numbers has no common factors except 1. So, there LCM is their product i.e 27096817

Least Common Multiple of 5017,5401 with GCF Formula

Least Common Multiple of 5017,5401 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 5017,5401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5017,5401) = 1

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

GCF(5017,5401) x common factors =1 x 1 = 1

LCM(5017,5401) = ( 5017 × 5401 ) / 1

LCM(5017,5401) = 27096817 / 1

LCM(5017,5401) = 27096817


Lets's calculate GCF of 494,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27096817/1

Therefore the LCM of Fractions 5017/494,5401/565 is 27096817

Greatest Common Factor of 494,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,565 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 494,565 . The biggest common factor number is the GCF number.
So the greatest common factor 494,565 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 5017/494, 5401/565

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 5017/494, 5401/565?

Answer: LCM of Numerators as per given numbers 5017/494, 5401/565 is

LCM of Numerators i.e. for 5017,5401 is 27096817

GCF of denominators i.e. for 494,565 is 1.

Thus, LCM of Fractions is 27096817.Finally, LCM of Fractions for 5017/494, 5401/565 is 27096817.