Least Common Multiple of 5749/480, 4789/2281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5749/480, 4789/2281 quickly i.e. 27531961 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5749/480, 4789/2281 is 27531961.

LCM(5749/480, 4789/2281) = 27531961

LCM of 5749/480, 4789/2281

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 5749/480,4789/2281

Given numbers are 5749/480,4789/2281

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 5749,4789

Least Common Multiple of Numerators i.e. LCM of 5749,4789 is 27531961.

GCF of Denominators means GCF of 480,2281 as per the given fractions.

GCF of 480,2281 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5749,4789

LCM of Fractions 5749/480,4789/2281 is 27531961

Given numbers has no common factors except 1. So, there LCM is their product i.e 27531961

Least Common Multiple of 5749,4789 with GCF Formula

Least Common Multiple of 5749,4789 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 5749,4789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5749,4789) = 1

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

GCF(5749,4789) x common factors =1 x 1 = 1

LCM(5749,4789) = ( 5749 × 4789 ) / 1

LCM(5749,4789) = 27531961 / 1

LCM(5749,4789) = 27531961


Lets's calculate GCF of 480,2281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27531961/1

Therefore the LCM of Fractions 5749/480,4789/2281 is 27531961

Greatest Common Factor of 480,2281 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,2281 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 2281

List of positive integer factors of 2281 that divides 2281 without a remainder.

1,2281

Greatest Common Factor

We found the factors 480,2281 . The biggest common factor number is the GCF number.
So the greatest common factor 480,2281 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 5749/480, 4789/2281

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 5749/480, 4789/2281?

Answer: LCM of Numerators as per given numbers 5749/480, 4789/2281 is

LCM of Numerators i.e. for 5749,4789 is 27531961

GCF of denominators i.e. for 480,2281 is 1.

Thus, LCM of Fractions is 27531961.Finally, LCM of Fractions for 5749/480, 4789/2281 is 27531961.