Least Common Multiple of 4602/321, 9608/9872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4602/321, 9608/9872 quickly i.e. 22108008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4602/321, 9608/9872 is 22108008.

LCM(4602/321, 9608/9872) = 22108008

LCM of 4602/321, 9608/9872

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 4602/321,9608/9872

Given numbers are 4602/321,9608/9872

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 4602,9608

Least Common Multiple of Numerators i.e. LCM of 4602,9608 is 22108008.

GCF of Denominators means GCF of 321,9872 as per the given fractions.

GCF of 321,9872 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4602,9608

LCM of Fractions 4602/321,9608/9872 is 22108008

2 4602, 9608
2301, 4804

∴ So the LCM of the given numbers is 2 x 2301 x 4804 = 22108008

Least Common Multiple of 4602,9608 with GCF Formula

Least Common Multiple of 4602,9608 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 4602,9608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4602,9608) = 2

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

GCF(4602,9608) x common factors =2 x 1 = 2

LCM(4602,9608) = ( 4602 × 9608 ) / 2

LCM(4602,9608) = 44216016 / 2

LCM(4602,9608) = 22108008


Lets's calculate GCF of 321,9872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22108008/1

Therefore the LCM of Fractions 4602/321,9608/9872 is 22108008

Greatest Common Factor of 321,9872 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,9872 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 9872

List of positive integer factors of 9872 that divides 9872 without a remainder.

1,2,4,8,16,617,1234,2468,4936,9872

Greatest Common Factor

We found the factors 321,9872 . The biggest common factor number is the GCF number.
So the greatest common factor 321,9872 is 1.


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 4602/321, 9608/9872

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 4602/321, 9608/9872?

Answer: LCM of Numerators as per given numbers 4602/321, 9608/9872 is

LCM of Numerators i.e. for 4602,9608 is 22108008

GCF of denominators i.e. for 321,9872 is 1.

Thus, LCM of Fractions is 22108008.Finally, LCM of Fractions for 4602/321, 9608/9872 is 22108008.