Least Common Multiple of 584/30, 284/35, 438/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/30, 284/35, 438/304 quickly i.e. 124392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/30, 284/35, 438/304 is 124392.

LCM(584/30, 284/35, 438/304) = 124392

LCM of 584/30, 284/35, 438/304

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 584/30,284/35,438/304

Given numbers are 584/30,284/35,438/304

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 584,284,438

Least Common Multiple of Numerators i.e. LCM of 584,284,438 is 124392.

GCF of Denominators means GCF of 30,35,304 as per the given fractions.

GCF of 30,35,304 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,284,438

LCM of Fractions 584/30,284/35,438/304 is 124392

2 584, 284, 438
2 292, 142, 219
73 146, 71, 219
2, 71, 3

∴ So the LCM of the given numbers is 2 x 2 x 73 x 2 x 71 x 3 = 124392

Least Common Multiple of 584,284,438 with GCF Formula

Least Common Multiple of 584,284,438 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 584,284,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,284,438) = 2

common factors(in case of two or more numbers have common factors) = 292

GCF(584,284,438) x common factors =2 x 292 = 584

LCM(584,284,438) = ( 584 × 284 × 438 ) / 584

LCM(584,284,438) = 72644928 / 584

LCM(584,284,438) = 124392


Lets's calculate GCF of 30,35,304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124392/1

Therefore the LCM of Fractions 584/30,284/35,438/304 is 124392

Greatest Common Factor of 30,35,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,35,304 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 30,35,304 . The biggest common factor number is the GCF number.
So the greatest common factor 30,35,304 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 584/30, 284/35, 438/304

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 584/30, 284/35, 438/304?

Answer: LCM of Numerators as per given numbers 584/30, 284/35, 438/304 is

LCM of Numerators i.e. for 584,284,438 is 124392

GCF of denominators i.e. for 30,35,304 is 1.

Thus, LCM of Fractions is 124392.Finally, LCM of Fractions for 584/30, 284/35, 438/304 is 124392.