Least Common Multiple of 1389/566, 4740/4308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1389/566, 4740/4308 quickly i.e. 1097310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1389/566, 4740/4308 is 1097310.

LCM(1389/566, 4740/4308) = 1097310

LCM of 1389/566, 4740/4308

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 1389/566,4740/4308

Given numbers are 1389/566,4740/4308

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 1389,4740

Least Common Multiple of Numerators i.e. LCM of 1389,4740 is 2194620.

GCF of Denominators means GCF of 566,4308 as per the given fractions.

GCF of 566,4308 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1389,4740

LCM of Fractions 1389/566,4740/4308 is 1097310

3 1389, 4740
463, 1580

∴ So the LCM of the given numbers is 3 x 463 x 1580 = 2194620

Least Common Multiple of 1389,4740 with GCF Formula

Least Common Multiple of 1389,4740 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 1389,4740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1389,4740) = 3

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

GCF(1389,4740) x common factors =3 x 1 = 3

LCM(1389,4740) = ( 1389 × 4740 ) / 3

LCM(1389,4740) = 6583860 / 3

LCM(1389,4740) = 2194620


Lets's calculate GCF of 566,4308

2 566, 4308
283, 2154

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2194620/2

Therefore the LCM of Fractions 1389/566,4740/4308 is 1097310

Greatest Common Factor of 566,4308 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,4308 By Matching Biggest Common Factor Method

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 4308

List of positive integer factors of 4308 that divides 4308 without a remainder.

1,2,3,4,6,12,359,718,1077,1436,2154,4308

Greatest Common Factor

We found the factors 566,4308 . The biggest common factor number is the GCF number.
So the greatest common factor 566,4308 is 2.


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 1389/566, 4740/4308

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 1389/566, 4740/4308?

Answer: LCM of Numerators as per given numbers 1389/566, 4740/4308 is

LCM of Numerators i.e. for 1389,4740 is 2194620

GCF of denominators i.e. for 566,4308 is 2.

Thus, LCM of Fractions is 1097310.Finally, LCM of Fractions for 1389/566, 4740/4308 is 1097310.