Least Common Multiple of 584/603, 8964/4584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/603, 8964/4584 quickly i.e. 436248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/603, 8964/4584 is 436248.

LCM(584/603, 8964/4584) = 436248

LCM of 584/603, 8964/4584

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 584/603,8964/4584

Given numbers are 584/603,8964/4584

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 584,8964

Least Common Multiple of Numerators i.e. LCM of 584,8964 is 1308744.

GCF of Denominators means GCF of 603,4584 as per the given fractions.

GCF of 603,4584 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,8964

LCM of Fractions 584/603,8964/4584 is 436248

2 584, 8964
2 292, 4482
146, 2241

∴ So the LCM of the given numbers is 2 x 2 x 146 x 2241 = 1308744

Least Common Multiple of 584,8964 with GCF Formula

Least Common Multiple of 584,8964 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 584,8964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,8964) = 4

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

GCF(584,8964) x common factors =4 x 1 = 4

LCM(584,8964) = ( 584 × 8964 ) / 4

LCM(584,8964) = 5234976 / 4

LCM(584,8964) = 1308744


Lets's calculate GCF of 603,4584

3 603, 4584
201, 1528

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1308744/3

Therefore the LCM of Fractions 584/603,8964/4584 is 436248

Greatest Common Factor of 603,4584 By Matching Biggest Common Factor Method

Greatest Common Factor of 603,4584 By Matching Biggest Common Factor Method

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 4584

List of positive integer factors of 4584 that divides 4584 without a remainder.

1,2,3,4,6,8,12,24,191,382,573,764,1146,1528,2292,4584

Greatest Common Factor

We found the factors 603,4584 . The biggest common factor number is the GCF number.
So the greatest common factor 603,4584 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 584/603, 8964/4584

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 584/603, 8964/4584?

Answer: LCM of Numerators as per given numbers 584/603, 8964/4584 is

LCM of Numerators i.e. for 584,8964 is 1308744

GCF of denominators i.e. for 603,4584 is 3.

Thus, LCM of Fractions is 436248.Finally, LCM of Fractions for 584/603, 8964/4584 is 436248.