Least Common Multiple of 42/100, 961/384, 604/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/100, 961/384, 604/413 quickly i.e. 12189324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/100, 961/384, 604/413 is 12189324.

LCM(42/100, 961/384, 604/413) = 12189324

LCM of 42/100, 961/384, 604/413

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 42/100,961/384,604/413

Given numbers are 42/100,961/384,604/413

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 42,961,604

Least Common Multiple of Numerators i.e. LCM of 42,961,604 is 12189324.

GCF of Denominators means GCF of 100,384,413 as per the given fractions.

GCF of 100,384,413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,961,604

LCM of Fractions 42/100,961/384,604/413 is 12189324

2 42, 961, 604
21, 961, 302

∴ So the LCM of the given numbers is 2 x 21 x 961 x 302 = 12189324

Least Common Multiple of 42,961,604 with GCF Formula

Least Common Multiple of 42,961,604 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 42,961,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,961,604) = 1

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

GCF(42,961,604) x common factors =1 x 2 = 2

LCM(42,961,604) = ( 42 × 961 × 604 ) / 2

LCM(42,961,604) = 24378648 / 2

LCM(42,961,604) = 12189324


Lets's calculate GCF of 100,384,413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12189324/1

Therefore the LCM of Fractions 42/100,961/384,604/413 is 12189324

Greatest Common Factor of 100,384,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,384,413 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 100,384,413 . The biggest common factor number is the GCF number.
So the greatest common factor 100,384,413 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 42/100, 961/384, 604/413

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 42/100, 961/384, 604/413?

Answer: LCM of Numerators as per given numbers 42/100, 961/384, 604/413 is

LCM of Numerators i.e. for 42,961,604 is 12189324

GCF of denominators i.e. for 100,384,413 is 1.

Thus, LCM of Fractions is 12189324.Finally, LCM of Fractions for 42/100, 961/384, 604/413 is 12189324.