Least Common Multiple of 698/541, 638/238, 595/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 698/541, 638/238, 595/444 quickly i.e. 132483890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 698/541, 638/238, 595/444 is 132483890.

LCM(698/541, 638/238, 595/444) = 132483890

LCM of 698/541, 638/238, 595/444

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 698/541,638/238,595/444

Given numbers are 698/541,638/238,595/444

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 698,638,595

Least Common Multiple of Numerators i.e. LCM of 698,638,595 is 132483890.

GCF of Denominators means GCF of 541,238,444 as per the given fractions.

GCF of 541,238,444 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 698,638,595

LCM of Fractions 698/541,638/238,595/444 is 132483890

2 698, 638, 595
349, 319, 595

∴ So the LCM of the given numbers is 2 x 349 x 319 x 595 = 132483890

Least Common Multiple of 698,638,595 with GCF Formula

Least Common Multiple of 698,638,595 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 698,638,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,638,595) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(698,638,595) x common factors =1 x 2 = 2

LCM(698,638,595) = ( 698 × 638 × 595 ) / 2

LCM(698,638,595) = 264967780 / 2

LCM(698,638,595) = 132483890


Lets's calculate GCF of 541,238,444

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132483890/1

Therefore the LCM of Fractions 698/541,638/238,595/444 is 132483890

Greatest Common Factor of 541,238,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 541,238,444 By Matching Biggest Common Factor Method

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 541,238,444 . The biggest common factor number is the GCF number.
So the greatest common factor 541,238,444 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 698/541, 638/238, 595/444

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 698/541, 638/238, 595/444?

Answer: LCM of Numerators as per given numbers 698/541, 638/238, 595/444 is

LCM of Numerators i.e. for 698,638,595 is 132483890

GCF of denominators i.e. for 541,238,444 is 1.

Thus, LCM of Fractions is 132483890.Finally, LCM of Fractions for 698/541, 638/238, 595/444 is 132483890.