Least Common Multiple of 32/867, 9611/5743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/867, 9611/5743 quickly i.e. 307552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/867, 9611/5743 is 307552.

LCM(32/867, 9611/5743) = 307552

LCM of 32/867, 9611/5743

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 32/867,9611/5743

Given numbers are 32/867,9611/5743

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 32,9611

Least Common Multiple of Numerators i.e. LCM of 32,9611 is 307552.

GCF of Denominators means GCF of 867,5743 as per the given fractions.

GCF of 867,5743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,9611

LCM of Fractions 32/867,9611/5743 is 307552

Given numbers has no common factors except 1. So, there LCM is their product i.e 307552

Least Common Multiple of 32,9611 with GCF Formula

Least Common Multiple of 32,9611 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 32,9611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,9611) = 1

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

GCF(32,9611) x common factors =1 x 1 = 1

LCM(32,9611) = ( 32 × 9611 ) / 1

LCM(32,9611) = 307552 / 1

LCM(32,9611) = 307552


Lets's calculate GCF of 867,5743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307552/1

Therefore the LCM of Fractions 32/867,9611/5743 is 307552

Greatest Common Factor of 867,5743 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,5743 By Matching Biggest Common Factor Method

Factors of 867

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

1,3,17,51,289,867

Factors of 5743

List of positive integer factors of 5743 that divides 5743 without a remainder.

1,5743

Greatest Common Factor

We found the factors 867,5743 . The biggest common factor number is the GCF number.
So the greatest common factor 867,5743 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 32/867, 9611/5743

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 32/867, 9611/5743?

Answer: LCM of Numerators as per given numbers 32/867, 9611/5743 is

LCM of Numerators i.e. for 32,9611 is 307552

GCF of denominators i.e. for 867,5743 is 1.

Thus, LCM of Fractions is 307552.Finally, LCM of Fractions for 32/867, 9611/5743 is 307552.