Least Common Multiple of 424/224, 106/544, 595/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 424/224, 106/544, 595/590 quickly i.e. 126140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 424/224, 106/544, 595/590 is 126140.

LCM(424/224, 106/544, 595/590) = 126140

LCM of 424/224, 106/544, 595/590

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 424/224,106/544,595/590

Given numbers are 424/224,106/544,595/590

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 424,106,595

Least Common Multiple of Numerators i.e. LCM of 424,106,595 is 252280.

GCF of Denominators means GCF of 224,544,590 as per the given fractions.

GCF of 224,544,590 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 424,106,595

LCM of Fractions 424/224,106/544,595/590 is 126140

2 424, 106, 595
53 212, 53, 595
4, 1, 595

∴ So the LCM of the given numbers is 2 x 53 x 4 x 1 x 595 = 252280

Least Common Multiple of 424,106,595 with GCF Formula

Least Common Multiple of 424,106,595 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 424,106,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,106,595) = 1

common factors(in case of two or more numbers have common factors) = 106

GCF(424,106,595) x common factors =1 x 106 = 106

LCM(424,106,595) = ( 424 × 106 × 595 ) / 106

LCM(424,106,595) = 26741680 / 106

LCM(424,106,595) = 252280


Lets's calculate GCF of 224,544,590

2 224, 544, 590
112, 272, 295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252280/2

Therefore the LCM of Fractions 424/224,106/544,595/590 is 126140

Greatest Common Factor of 224,544,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,544,590 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 224,544,590 . The biggest common factor number is the GCF number.
So the greatest common factor 224,544,590 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 424/224, 106/544, 595/590

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 424/224, 106/544, 595/590?

Answer: LCM of Numerators as per given numbers 424/224, 106/544, 595/590 is

LCM of Numerators i.e. for 424,106,595 is 252280

GCF of denominators i.e. for 224,544,590 is 2.

Thus, LCM of Fractions is 126140.Finally, LCM of Fractions for 424/224, 106/544, 595/590 is 126140.