Least Common Multiple of 2087/466, 1404/3789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2087/466, 1404/3789 quickly i.e. 2930148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2087/466, 1404/3789 is 2930148.

LCM(2087/466, 1404/3789) = 2930148

LCM of 2087/466, 1404/3789

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 2087/466,1404/3789

Given numbers are 2087/466,1404/3789

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 2087,1404

Least Common Multiple of Numerators i.e. LCM of 2087,1404 is 2930148.

GCF of Denominators means GCF of 466,3789 as per the given fractions.

GCF of 466,3789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2087,1404

LCM of Fractions 2087/466,1404/3789 is 2930148

Given numbers has no common factors except 1. So, there LCM is their product i.e 2930148

Least Common Multiple of 2087,1404 with GCF Formula

Least Common Multiple of 2087,1404 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 2087,1404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2087,1404) = 1

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

GCF(2087,1404) x common factors =1 x 1 = 1

LCM(2087,1404) = ( 2087 × 1404 ) / 1

LCM(2087,1404) = 2930148 / 1

LCM(2087,1404) = 2930148


Lets's calculate GCF of 466,3789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2930148/1

Therefore the LCM of Fractions 2087/466,1404/3789 is 2930148

Greatest Common Factor of 466,3789 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,3789 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 3789

List of positive integer factors of 3789 that divides 3789 without a remainder.

1,3,9,421,1263,3789

Greatest Common Factor

We found the factors 466,3789 . The biggest common factor number is the GCF number.
So the greatest common factor 466,3789 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 2087/466, 1404/3789

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 2087/466, 1404/3789?

Answer: LCM of Numerators as per given numbers 2087/466, 1404/3789 is

LCM of Numerators i.e. for 2087,1404 is 2930148

GCF of denominators i.e. for 466,3789 is 1.

Thus, LCM of Fractions is 2930148.Finally, LCM of Fractions for 2087/466, 1404/3789 is 2930148.