Least Common Multiple of 8083/148, 4936/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8083/148, 4936/320 quickly i.e. 9974422 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8083/148, 4936/320 is 9974422.

LCM(8083/148, 4936/320) = 9974422

LCM of 8083/148, 4936/320

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 8083/148,4936/320

Given numbers are 8083/148,4936/320

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 8083,4936

Least Common Multiple of Numerators i.e. LCM of 8083,4936 is 39897688.

GCF of Denominators means GCF of 148,320 as per the given fractions.

GCF of 148,320 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8083,4936

LCM of Fractions 8083/148,4936/320 is 9974422

Given numbers has no common factors except 1. So, there LCM is their product i.e 39897688

Least Common Multiple of 8083,4936 with GCF Formula

Least Common Multiple of 8083,4936 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 8083,4936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8083,4936) = 1

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

GCF(8083,4936) x common factors =1 x 1 = 1

LCM(8083,4936) = ( 8083 × 4936 ) / 1

LCM(8083,4936) = 39897688 / 1

LCM(8083,4936) = 39897688


Lets's calculate GCF of 148,320

2 148, 320
2 74, 160
37, 80

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39897688/4

Therefore the LCM of Fractions 8083/148,4936/320 is 9974422

Greatest Common Factor of 148,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,320 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 148,320 . The biggest common factor number is the GCF number.
So the greatest common factor 148,320 is 4.


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 8083/148, 4936/320

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 8083/148, 4936/320?

Answer: LCM of Numerators as per given numbers 8083/148, 4936/320 is

LCM of Numerators i.e. for 8083,4936 is 39897688

GCF of denominators i.e. for 148,320 is 4.

Thus, LCM of Fractions is 9974422.Finally, LCM of Fractions for 8083/148, 4936/320 is 9974422.