Least Common Multiple of 9536/571, 9748/8881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9536/571, 9748/8881 quickly i.e. 23239232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9536/571, 9748/8881 is 23239232.

LCM(9536/571, 9748/8881) = 23239232

LCM of 9536/571, 9748/8881

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 9536/571,9748/8881

Given numbers are 9536/571,9748/8881

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 9536,9748

Least Common Multiple of Numerators i.e. LCM of 9536,9748 is 23239232.

GCF of Denominators means GCF of 571,8881 as per the given fractions.

GCF of 571,8881 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9536,9748

LCM of Fractions 9536/571,9748/8881 is 23239232

2 9536, 9748
2 4768, 4874
2384, 2437

∴ So the LCM of the given numbers is 2 x 2 x 2384 x 2437 = 23239232

Least Common Multiple of 9536,9748 with GCF Formula

Least Common Multiple of 9536,9748 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 9536,9748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9536,9748) = 4

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

GCF(9536,9748) x common factors =4 x 1 = 4

LCM(9536,9748) = ( 9536 × 9748 ) / 4

LCM(9536,9748) = 92956928 / 4

LCM(9536,9748) = 23239232


Lets's calculate GCF of 571,8881

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23239232/1

Therefore the LCM of Fractions 9536/571,9748/8881 is 23239232

Greatest Common Factor of 571,8881 By Matching Biggest Common Factor Method

Greatest Common Factor of 571,8881 By Matching Biggest Common Factor Method

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Factors of 8881

List of positive integer factors of 8881 that divides 8881 without a remainder.

1,83,107,8881

Greatest Common Factor

We found the factors 571,8881 . The biggest common factor number is the GCF number.
So the greatest common factor 571,8881 is 1.


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 9536/571, 9748/8881

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 9536/571, 9748/8881?

Answer: LCM of Numerators as per given numbers 9536/571, 9748/8881 is

LCM of Numerators i.e. for 9536,9748 is 23239232

GCF of denominators i.e. for 571,8881 is 1.

Thus, LCM of Fractions is 23239232.Finally, LCM of Fractions for 9536/571, 9748/8881 is 23239232.