Least Common Multiple of 422/640, 9173/4608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/640, 9173/4608 quickly i.e. 3871006/128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/640, 9173/4608 is 3871006/128.

LCM(422/640, 9173/4608) = 3871006/128

LCM of 422/640, 9173/4608

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 422/640,9173/4608

Given numbers are 422/640,9173/4608

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 422,9173

Least Common Multiple of Numerators i.e. LCM of 422,9173 is 3871006.

GCF of Denominators means GCF of 640,4608 as per the given fractions.

GCF of 640,4608 is 128 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,9173

LCM of Fractions 422/640,9173/4608 is 3871006/128

Given numbers has no common factors except 1. So, there LCM is their product i.e 3871006

Least Common Multiple of 422,9173 with GCF Formula

Least Common Multiple of 422,9173 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 422,9173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,9173) = 1

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

GCF(422,9173) x common factors =1 x 1 = 1

LCM(422,9173) = ( 422 × 9173 ) / 1

LCM(422,9173) = 3871006 / 1

LCM(422,9173) = 3871006


Lets's calculate GCF of 640,4608

2 640, 4608
2 320, 2304
2 160, 1152
2 80, 576
2 40, 288
2 20, 144
2 10, 72
5, 36

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3871006/128

Therefore the LCM of Fractions 422/640,9173/4608 is 3871006/128

Greatest Common Factor of 640,4608 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,4608 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 4608

List of positive integer factors of 4608 that divides 4608 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1152,1536,2304,4608

Greatest Common Factor

We found the factors 640,4608 . The biggest common factor number is the GCF number.
So the greatest common factor 640,4608 is 128.


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 422/640, 9173/4608

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 422/640, 9173/4608?

Answer: LCM of Numerators as per given numbers 422/640, 9173/4608 is

LCM of Numerators i.e. for 422,9173 is 3871006

GCF of denominators i.e. for 640,4608 is 128.

Thus, LCM of Fractions is 3871006/128.Finally, LCM of Fractions for 422/640, 9173/4608 is 3871006/128.