Least Common Multiple of 501/966, 8349/3783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/966, 8349/3783 quickly i.e. 464761 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/966, 8349/3783 is 464761.

LCM(501/966, 8349/3783) = 464761

LCM of 501/966, 8349/3783

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 501/966,8349/3783

Given numbers are 501/966,8349/3783

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 501,8349

Least Common Multiple of Numerators i.e. LCM of 501,8349 is 1394283.

GCF of Denominators means GCF of 966,3783 as per the given fractions.

GCF of 966,3783 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,8349

LCM of Fractions 501/966,8349/3783 is 464761

3 501, 8349
167, 2783

∴ So the LCM of the given numbers is 3 x 167 x 2783 = 1394283

Least Common Multiple of 501,8349 with GCF Formula

Least Common Multiple of 501,8349 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 501,8349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,8349) = 3

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

GCF(501,8349) x common factors =3 x 1 = 3

LCM(501,8349) = ( 501 × 8349 ) / 3

LCM(501,8349) = 4182849 / 3

LCM(501,8349) = 1394283


Lets's calculate GCF of 966,3783

3 966, 3783
322, 1261

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1394283/3

Therefore the LCM of Fractions 501/966,8349/3783 is 464761

Greatest Common Factor of 966,3783 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,3783 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 3783

List of positive integer factors of 3783 that divides 3783 without a remainder.

1,3,13,39,97,291,1261,3783

Greatest Common Factor

We found the factors 966,3783 . The biggest common factor number is the GCF number.
So the greatest common factor 966,3783 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 501/966, 8349/3783

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 501/966, 8349/3783?

Answer: LCM of Numerators as per given numbers 501/966, 8349/3783 is

LCM of Numerators i.e. for 501,8349 is 1394283

GCF of denominators i.e. for 966,3783 is 3.

Thus, LCM of Fractions is 464761.Finally, LCM of Fractions for 501/966, 8349/3783 is 464761.