Least Common Multiple of 58/247, 4416/8443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/247, 4416/8443 quickly i.e. 128064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/247, 4416/8443 is 128064.

LCM(58/247, 4416/8443) = 128064

LCM of 58/247, 4416/8443

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 58/247,4416/8443

Given numbers are 58/247,4416/8443

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 58,4416

Least Common Multiple of Numerators i.e. LCM of 58,4416 is 128064.

GCF of Denominators means GCF of 247,8443 as per the given fractions.

GCF of 247,8443 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,4416

LCM of Fractions 58/247,4416/8443 is 128064

2 58, 4416
29, 2208

∴ So the LCM of the given numbers is 2 x 29 x 2208 = 128064

Least Common Multiple of 58,4416 with GCF Formula

Least Common Multiple of 58,4416 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 58,4416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,4416) = 2

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

GCF(58,4416) x common factors =2 x 1 = 2

LCM(58,4416) = ( 58 × 4416 ) / 2

LCM(58,4416) = 256128 / 2

LCM(58,4416) = 128064


Lets's calculate GCF of 247,8443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128064/1

Therefore the LCM of Fractions 58/247,4416/8443 is 128064

Greatest Common Factor of 247,8443 By Matching Biggest Common Factor Method

Greatest Common Factor of 247,8443 By Matching Biggest Common Factor Method

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 8443

List of positive integer factors of 8443 that divides 8443 without a remainder.

1,8443

Greatest Common Factor

We found the factors 247,8443 . The biggest common factor number is the GCF number.
So the greatest common factor 247,8443 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 58/247, 4416/8443

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 58/247, 4416/8443?

Answer: LCM of Numerators as per given numbers 58/247, 4416/8443 is

LCM of Numerators i.e. for 58,4416 is 128064

GCF of denominators i.e. for 247,8443 is 1.

Thus, LCM of Fractions is 128064.Finally, LCM of Fractions for 58/247, 4416/8443 is 128064.