Least Common Multiple of 9436/58, 5871/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9436/58, 5871/576 quickly i.e. 27699378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9436/58, 5871/576 is 27699378.

LCM(9436/58, 5871/576) = 27699378

LCM of 9436/58, 5871/576

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 9436/58,5871/576

Given numbers are 9436/58,5871/576

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 9436,5871

Least Common Multiple of Numerators i.e. LCM of 9436,5871 is 55398756.

GCF of Denominators means GCF of 58,576 as per the given fractions.

GCF of 58,576 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9436,5871

LCM of Fractions 9436/58,5871/576 is 27699378

Given numbers has no common factors except 1. So, there LCM is their product i.e 55398756

Least Common Multiple of 9436,5871 with GCF Formula

Least Common Multiple of 9436,5871 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 9436,5871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9436,5871) = 1

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

GCF(9436,5871) x common factors =1 x 1 = 1

LCM(9436,5871) = ( 9436 × 5871 ) / 1

LCM(9436,5871) = 55398756 / 1

LCM(9436,5871) = 55398756


Lets's calculate GCF of 58,576

2 58, 576
29, 288

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55398756/2

Therefore the LCM of Fractions 9436/58,5871/576 is 27699378

Greatest Common Factor of 58,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,576 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 58,576 . The biggest common factor number is the GCF number.
So the greatest common factor 58,576 is 2.


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Frequently Asked Questions on Fractional LCM of 9436/58, 5871/576

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 9436/58, 5871/576?

Answer: LCM of Numerators as per given numbers 9436/58, 5871/576 is

LCM of Numerators i.e. for 9436,5871 is 55398756

GCF of denominators i.e. for 58,576 is 2.

Thus, LCM of Fractions is 27699378.Finally, LCM of Fractions for 9436/58, 5871/576 is 27699378.