Least Common Multiple of 4794/728, 1167/3285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4794/728, 1167/3285 quickly i.e. 1864866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4794/728, 1167/3285 is 1864866.

LCM(4794/728, 1167/3285) = 1864866

LCM of 4794/728, 1167/3285

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 4794/728,1167/3285

Given numbers are 4794/728,1167/3285

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 4794,1167

Least Common Multiple of Numerators i.e. LCM of 4794,1167 is 1864866.

GCF of Denominators means GCF of 728,3285 as per the given fractions.

GCF of 728,3285 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4794,1167

LCM of Fractions 4794/728,1167/3285 is 1864866

3 4794, 1167
1598, 389

∴ So the LCM of the given numbers is 3 x 1598 x 389 = 1864866

Least Common Multiple of 4794,1167 with GCF Formula

Least Common Multiple of 4794,1167 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 4794,1167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4794,1167) = 3

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

GCF(4794,1167) x common factors =3 x 1 = 3

LCM(4794,1167) = ( 4794 × 1167 ) / 3

LCM(4794,1167) = 5594598 / 3

LCM(4794,1167) = 1864866


Lets's calculate GCF of 728,3285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1864866/1

Therefore the LCM of Fractions 4794/728,1167/3285 is 1864866

Greatest Common Factor of 728,3285 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,3285 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 3285

List of positive integer factors of 3285 that divides 3285 without a remainder.

1,3,5,9,15,45,73,219,365,657,1095,3285

Greatest Common Factor

We found the factors 728,3285 . The biggest common factor number is the GCF number.
So the greatest common factor 728,3285 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 4794/728, 1167/3285

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 4794/728, 1167/3285?

Answer: LCM of Numerators as per given numbers 4794/728, 1167/3285 is

LCM of Numerators i.e. for 4794,1167 is 1864866

GCF of denominators i.e. for 728,3285 is 1.

Thus, LCM of Fractions is 1864866.Finally, LCM of Fractions for 4794/728, 1167/3285 is 1864866.