Least Common Multiple of 96/598, 444/580, 224/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/598, 444/580, 224/420 quickly i.e. 12432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/598, 444/580, 224/420 is 12432.

LCM(96/598, 444/580, 224/420) = 12432

LCM of 96/598, 444/580, 224/420

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 96/598,444/580,224/420

Given numbers are 96/598,444/580,224/420

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 96,444,224

Least Common Multiple of Numerators i.e. LCM of 96,444,224 is 24864.

GCF of Denominators means GCF of 598,580,420 as per the given fractions.

GCF of 598,580,420 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,444,224

LCM of Fractions 96/598,444/580,224/420 is 12432

2 96, 444, 224
2 48, 222, 112
2 24, 111, 56
2 12, 111, 28
2 6, 111, 14
3 3, 111, 7
1, 37, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 37 x 7 = 24864

Least Common Multiple of 96,444,224 with GCF Formula

Least Common Multiple of 96,444,224 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 96,444,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,444,224) = 4

common factors(in case of two or more numbers have common factors) = 96

GCF(96,444,224) x common factors =4 x 96 = 384

LCM(96,444,224) = ( 96 × 444 × 224 ) / 384

LCM(96,444,224) = 9547776 / 384

LCM(96,444,224) = 24864


Lets's calculate GCF of 598,580,420

2 598, 580, 420
299, 290, 210

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24864/2

Therefore the LCM of Fractions 96/598,444/580,224/420 is 12432

Greatest Common Factor of 598,580,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,580,420 By Matching Biggest Common Factor Method

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 598,580,420 . The biggest common factor number is the GCF number.
So the greatest common factor 598,580,420 is 2.


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 96/598, 444/580, 224/420

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 96/598, 444/580, 224/420?

Answer: LCM of Numerators as per given numbers 96/598, 444/580, 224/420 is

LCM of Numerators i.e. for 96,444,224 is 24864

GCF of denominators i.e. for 598,580,420 is 2.

Thus, LCM of Fractions is 12432.Finally, LCM of Fractions for 96/598, 444/580, 224/420 is 12432.