Least Common Multiple of 328/833, 3006/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 328/833, 3006/559 quickly i.e. 492984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 328/833, 3006/559 is 492984.

LCM(328/833, 3006/559) = 492984

LCM of 328/833, 3006/559

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 328/833,3006/559

Given numbers are 328/833,3006/559

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 328,3006

Least Common Multiple of Numerators i.e. LCM of 328,3006 is 492984.

GCF of Denominators means GCF of 833,559 as per the given fractions.

GCF of 833,559 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 328,3006

LCM of Fractions 328/833,3006/559 is 492984

2 328, 3006
164, 1503

∴ So the LCM of the given numbers is 2 x 164 x 1503 = 492984

Least Common Multiple of 328,3006 with GCF Formula

Least Common Multiple of 328,3006 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 328,3006 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,3006) = 2

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

GCF(328,3006) x common factors =2 x 1 = 2

LCM(328,3006) = ( 328 × 3006 ) / 2

LCM(328,3006) = 985968 / 2

LCM(328,3006) = 492984


Lets's calculate GCF of 833,559

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 492984/1

Therefore the LCM of Fractions 328/833,3006/559 is 492984

Greatest Common Factor of 833,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 833,559 By Matching Biggest Common Factor Method

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 833,559 . The biggest common factor number is the GCF number.
So the greatest common factor 833,559 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 328/833, 3006/559

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 328/833, 3006/559?

Answer: LCM of Numerators as per given numbers 328/833, 3006/559 is

LCM of Numerators i.e. for 328,3006 is 492984

GCF of denominators i.e. for 833,559 is 1.

Thus, LCM of Fractions is 492984.Finally, LCM of Fractions for 328/833, 3006/559 is 492984.