Least Common Multiple of 1083/499, 3891/1229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1083/499, 3891/1229 quickly i.e. 1404651 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1083/499, 3891/1229 is 1404651.

LCM(1083/499, 3891/1229) = 1404651

LCM of 1083/499, 3891/1229

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 1083/499,3891/1229

Given numbers are 1083/499,3891/1229

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 1083,3891

Least Common Multiple of Numerators i.e. LCM of 1083,3891 is 1404651.

GCF of Denominators means GCF of 499,1229 as per the given fractions.

GCF of 499,1229 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1083,3891

LCM of Fractions 1083/499,3891/1229 is 1404651

3 1083, 3891
361, 1297

∴ So the LCM of the given numbers is 3 x 361 x 1297 = 1404651

Least Common Multiple of 1083,3891 with GCF Formula

Least Common Multiple of 1083,3891 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 1083,3891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1083,3891) = 3

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

GCF(1083,3891) x common factors =3 x 1 = 3

LCM(1083,3891) = ( 1083 × 3891 ) / 3

LCM(1083,3891) = 4213953 / 3

LCM(1083,3891) = 1404651


Lets's calculate GCF of 499,1229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1404651/1

Therefore the LCM of Fractions 1083/499,3891/1229 is 1404651

Greatest Common Factor of 499,1229 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,1229 By Matching Biggest Common Factor Method

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 1229

List of positive integer factors of 1229 that divides 1229 without a remainder.

1,1229

Greatest Common Factor

We found the factors 499,1229 . The biggest common factor number is the GCF number.
So the greatest common factor 499,1229 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 1083/499, 3891/1229

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 1083/499, 3891/1229?

Answer: LCM of Numerators as per given numbers 1083/499, 3891/1229 is

LCM of Numerators i.e. for 1083,3891 is 1404651

GCF of denominators i.e. for 499,1229 is 1.

Thus, LCM of Fractions is 1404651.Finally, LCM of Fractions for 1083/499, 3891/1229 is 1404651.