Least Common Multiple of 7121/512, 8224/4120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7121/512, 8224/4120 quickly i.e. 7320388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7121/512, 8224/4120 is 7320388.

LCM(7121/512, 8224/4120) = 7320388

LCM of 7121/512, 8224/4120

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 7121/512,8224/4120

Given numbers are 7121/512,8224/4120

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 7121,8224

Least Common Multiple of Numerators i.e. LCM of 7121,8224 is 58563104.

GCF of Denominators means GCF of 512,4120 as per the given fractions.

GCF of 512,4120 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7121,8224

LCM of Fractions 7121/512,8224/4120 is 7320388

Given numbers has no common factors except 1. So, there LCM is their product i.e 58563104

Least Common Multiple of 7121,8224 with GCF Formula

Least Common Multiple of 7121,8224 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 7121,8224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7121,8224) = 1

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

GCF(7121,8224) x common factors =1 x 1 = 1

LCM(7121,8224) = ( 7121 × 8224 ) / 1

LCM(7121,8224) = 58563104 / 1

LCM(7121,8224) = 58563104


Lets's calculate GCF of 512,4120

2 512, 4120
2 256, 2060
2 128, 1030
64, 515

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58563104/8

Therefore the LCM of Fractions 7121/512,8224/4120 is 7320388

Greatest Common Factor of 512,4120 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,4120 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 4120

List of positive integer factors of 4120 that divides 4120 without a remainder.

1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120

Greatest Common Factor

We found the factors 512,4120 . The biggest common factor number is the GCF number.
So the greatest common factor 512,4120 is 8.


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 7121/512, 8224/4120

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 7121/512, 8224/4120?

Answer: LCM of Numerators as per given numbers 7121/512, 8224/4120 is

LCM of Numerators i.e. for 7121,8224 is 58563104

GCF of denominators i.e. for 512,4120 is 8.

Thus, LCM of Fractions is 7320388.Finally, LCM of Fractions for 7121/512, 8224/4120 is 7320388.