Least Common Multiple of 9653/899, 4931/5017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9653/899, 4931/5017 quickly i.e. 47598943/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9653/899, 4931/5017 is 47598943/29.

LCM(9653/899, 4931/5017) = 47598943/29

LCM of 9653/899, 4931/5017

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 9653/899,4931/5017

Given numbers are 9653/899,4931/5017

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 9653,4931

Least Common Multiple of Numerators i.e. LCM of 9653,4931 is 47598943.

GCF of Denominators means GCF of 899,5017 as per the given fractions.

GCF of 899,5017 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9653,4931

LCM of Fractions 9653/899,4931/5017 is 47598943/29

Given numbers has no common factors except 1. So, there LCM is their product i.e 47598943

Least Common Multiple of 9653,4931 with GCF Formula

Least Common Multiple of 9653,4931 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 9653,4931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9653,4931) = 1

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

GCF(9653,4931) x common factors =1 x 1 = 1

LCM(9653,4931) = ( 9653 × 4931 ) / 1

LCM(9653,4931) = 47598943 / 1

LCM(9653,4931) = 47598943


Lets's calculate GCF of 899,5017

29 899, 5017
31, 173

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47598943/29

Therefore the LCM of Fractions 9653/899,4931/5017 is 47598943/29

Greatest Common Factor of 899,5017 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,5017 By Matching Biggest Common Factor Method

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 5017

List of positive integer factors of 5017 that divides 5017 without a remainder.

1,29,173,5017

Greatest Common Factor

We found the factors 899,5017 . The biggest common factor number is the GCF number.
So the greatest common factor 899,5017 is 29.


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 9653/899, 4931/5017

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 9653/899, 4931/5017?

Answer: LCM of Numerators as per given numbers 9653/899, 4931/5017 is

LCM of Numerators i.e. for 9653,4931 is 47598943

GCF of denominators i.e. for 899,5017 is 29.

Thus, LCM of Fractions is 47598943/29.Finally, LCM of Fractions for 9653/899, 4931/5017 is 47598943/29.