Least Common Multiple of 3263/443, 2289/7680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3263/443, 2289/7680 quickly i.e. 7469007 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3263/443, 2289/7680 is 7469007.

LCM(3263/443, 2289/7680) = 7469007

LCM of 3263/443, 2289/7680

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 3263/443,2289/7680

Given numbers are 3263/443,2289/7680

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 3263,2289

Least Common Multiple of Numerators i.e. LCM of 3263,2289 is 7469007.

GCF of Denominators means GCF of 443,7680 as per the given fractions.

GCF of 443,7680 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3263,2289

LCM of Fractions 3263/443,2289/7680 is 7469007

Given numbers has no common factors except 1. So, there LCM is their product i.e 7469007

Least Common Multiple of 3263,2289 with GCF Formula

Least Common Multiple of 3263,2289 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 3263,2289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3263,2289) = 1

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

GCF(3263,2289) x common factors =1 x 1 = 1

LCM(3263,2289) = ( 3263 × 2289 ) / 1

LCM(3263,2289) = 7469007 / 1

LCM(3263,2289) = 7469007


Lets's calculate GCF of 443,7680

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7469007/1

Therefore the LCM of Fractions 3263/443,2289/7680 is 7469007

Greatest Common Factor of 443,7680 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,7680 By Matching Biggest Common Factor Method

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 7680

List of positive integer factors of 7680 that divides 7680 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,512,640,768,960,1280,1536,1920,2560,3840,7680

Greatest Common Factor

We found the factors 443,7680 . The biggest common factor number is the GCF number.
So the greatest common factor 443,7680 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 3263/443, 2289/7680

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 3263/443, 2289/7680?

Answer: LCM of Numerators as per given numbers 3263/443, 2289/7680 is

LCM of Numerators i.e. for 3263,2289 is 7469007

GCF of denominators i.e. for 443,7680 is 1.

Thus, LCM of Fractions is 7469007.Finally, LCM of Fractions for 3263/443, 2289/7680 is 7469007.