Least Common Multiple of 9643/183, 4716/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9643/183, 4716/867 quickly i.e. 15158796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9643/183, 4716/867 is 15158796.

LCM(9643/183, 4716/867) = 15158796

LCM of 9643/183, 4716/867

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 9643/183,4716/867

Given numbers are 9643/183,4716/867

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 9643,4716

Least Common Multiple of Numerators i.e. LCM of 9643,4716 is 45476388.

GCF of Denominators means GCF of 183,867 as per the given fractions.

GCF of 183,867 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9643,4716

LCM of Fractions 9643/183,4716/867 is 15158796

Given numbers has no common factors except 1. So, there LCM is their product i.e 45476388

Least Common Multiple of 9643,4716 with GCF Formula

Least Common Multiple of 9643,4716 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 9643,4716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9643,4716) = 1

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

GCF(9643,4716) x common factors =1 x 1 = 1

LCM(9643,4716) = ( 9643 × 4716 ) / 1

LCM(9643,4716) = 45476388 / 1

LCM(9643,4716) = 45476388


Lets's calculate GCF of 183,867

3 183, 867
61, 289

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45476388/3

Therefore the LCM of Fractions 9643/183,4716/867 is 15158796

Greatest Common Factor of 183,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 183,867 By Matching Biggest Common Factor Method

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 183,867 . The biggest common factor number is the GCF number.
So the greatest common factor 183,867 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9643/183, 4716/867

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 9643/183, 4716/867?

Answer: LCM of Numerators as per given numbers 9643/183, 4716/867 is

LCM of Numerators i.e. for 9643,4716 is 45476388

GCF of denominators i.e. for 183,867 is 3.

Thus, LCM of Fractions is 15158796.Finally, LCM of Fractions for 9643/183, 4716/867 is 15158796.