Least Common Multiple of 1233/306, 8382/4785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1233/306, 8382/4785 quickly i.e. 1148334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1233/306, 8382/4785 is 1148334.

LCM(1233/306, 8382/4785) = 1148334

LCM of 1233/306, 8382/4785

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 1233/306,8382/4785

Given numbers are 1233/306,8382/4785

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 1233,8382

Least Common Multiple of Numerators i.e. LCM of 1233,8382 is 3445002.

GCF of Denominators means GCF of 306,4785 as per the given fractions.

GCF of 306,4785 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1233,8382

LCM of Fractions 1233/306,8382/4785 is 1148334

3 1233, 8382
411, 2794

∴ So the LCM of the given numbers is 3 x 411 x 2794 = 3445002

Least Common Multiple of 1233,8382 with GCF Formula

Least Common Multiple of 1233,8382 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 1233,8382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1233,8382) = 3

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

GCF(1233,8382) x common factors =3 x 1 = 3

LCM(1233,8382) = ( 1233 × 8382 ) / 3

LCM(1233,8382) = 10335006 / 3

LCM(1233,8382) = 3445002


Lets's calculate GCF of 306,4785

3 306, 4785
102, 1595

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3445002/3

Therefore the LCM of Fractions 1233/306,8382/4785 is 1148334

Greatest Common Factor of 306,4785 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,4785 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 4785

List of positive integer factors of 4785 that divides 4785 without a remainder.

1,3,5,11,15,29,33,55,87,145,165,319,435,957,1595,4785

Greatest Common Factor

We found the factors 306,4785 . The biggest common factor number is the GCF number.
So the greatest common factor 306,4785 is 3.


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 1233/306, 8382/4785

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 1233/306, 8382/4785?

Answer: LCM of Numerators as per given numbers 1233/306, 8382/4785 is

LCM of Numerators i.e. for 1233,8382 is 3445002

GCF of denominators i.e. for 306,4785 is 3.

Thus, LCM of Fractions is 1148334.Finally, LCM of Fractions for 1233/306, 8382/4785 is 1148334.