Least Common Multiple of 589/93, 524/19, 236/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 589/93, 524/19, 236/984 quickly i.e. 18209524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 589/93, 524/19, 236/984 is 18209524.

LCM(589/93, 524/19, 236/984) = 18209524

LCM of 589/93, 524/19, 236/984

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 589/93,524/19,236/984

Given numbers are 589/93,524/19,236/984

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 589,524,236

Least Common Multiple of Numerators i.e. LCM of 589,524,236 is 18209524.

GCF of Denominators means GCF of 93,19,984 as per the given fractions.

GCF of 93,19,984 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 589,524,236

LCM of Fractions 589/93,524/19,236/984 is 18209524

2 589, 524, 236
2 589, 262, 118
589, 131, 59

∴ So the LCM of the given numbers is 2 x 2 x 589 x 131 x 59 = 18209524

Least Common Multiple of 589,524,236 with GCF Formula

Least Common Multiple of 589,524,236 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 589,524,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,524,236) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(589,524,236) x common factors =1 x 4 = 4

LCM(589,524,236) = ( 589 × 524 × 236 ) / 4

LCM(589,524,236) = 72838096 / 4

LCM(589,524,236) = 18209524


Lets's calculate GCF of 93,19,984

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18209524/1

Therefore the LCM of Fractions 589/93,524/19,236/984 is 18209524

Greatest Common Factor of 93,19,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,19,984 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 93,19,984 . The biggest common factor number is the GCF number.
So the greatest common factor 93,19,984 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 589/93, 524/19, 236/984

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 589/93, 524/19, 236/984?

Answer: LCM of Numerators as per given numbers 589/93, 524/19, 236/984 is

LCM of Numerators i.e. for 589,524,236 is 18209524

GCF of denominators i.e. for 93,19,984 is 1.

Thus, LCM of Fractions is 18209524.Finally, LCM of Fractions for 589/93, 524/19, 236/984 is 18209524.