Least Common Multiple of 9601/321, 8036/1920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9601/321, 8036/1920 quickly i.e. 77153636/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9601/321, 8036/1920 is 77153636/3.

LCM(9601/321, 8036/1920) = 77153636/3

LCM of 9601/321, 8036/1920

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 9601/321,8036/1920

Given numbers are 9601/321,8036/1920

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 9601,8036

Least Common Multiple of Numerators i.e. LCM of 9601,8036 is 77153636.

GCF of Denominators means GCF of 321,1920 as per the given fractions.

GCF of 321,1920 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9601,8036

LCM of Fractions 9601/321,8036/1920 is 77153636/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 77153636

Least Common Multiple of 9601,8036 with GCF Formula

Least Common Multiple of 9601,8036 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 9601,8036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9601,8036) = 1

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

GCF(9601,8036) x common factors =1 x 1 = 1

LCM(9601,8036) = ( 9601 × 8036 ) / 1

LCM(9601,8036) = 77153636 / 1

LCM(9601,8036) = 77153636


Lets's calculate GCF of 321,1920

3 321, 1920
107, 640

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77153636/3

Therefore the LCM of Fractions 9601/321,8036/1920 is 77153636/3

Greatest Common Factor of 321,1920 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,1920 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 1920

List of positive integer factors of 1920 that divides 1920 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,320,384,480,640,960,1920

Greatest Common Factor

We found the factors 321,1920 . The biggest common factor number is the GCF number.
So the greatest common factor 321,1920 is 3.


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 9601/321, 8036/1920

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 9601/321, 8036/1920?

Answer: LCM of Numerators as per given numbers 9601/321, 8036/1920 is

LCM of Numerators i.e. for 9601,8036 is 77153636

GCF of denominators i.e. for 321,1920 is 3.

Thus, LCM of Fractions is 77153636/3.Finally, LCM of Fractions for 9601/321, 8036/1920 is 77153636/3.