Least Common Multiple of 38/466, 565/842, 575/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/466, 565/842, 575/190 quickly i.e. 1234525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/466, 565/842, 575/190 is 1234525.

LCM(38/466, 565/842, 575/190) = 1234525

LCM of 38/466, 565/842, 575/190

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 38/466,565/842,575/190

Given numbers are 38/466,565/842,575/190

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 38,565,575

Least Common Multiple of Numerators i.e. LCM of 38,565,575 is 2469050.

GCF of Denominators means GCF of 466,842,190 as per the given fractions.

GCF of 466,842,190 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,565,575

LCM of Fractions 38/466,565/842,575/190 is 1234525

5 38, 565, 575
38, 113, 115

∴ So the LCM of the given numbers is 5 x 38 x 113 x 115 = 2469050

Least Common Multiple of 38,565,575 with GCF Formula

Least Common Multiple of 38,565,575 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 38,565,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,565,575) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(38,565,575) x common factors =1 x 5 = 5

LCM(38,565,575) = ( 38 × 565 × 575 ) / 5

LCM(38,565,575) = 12345250 / 5

LCM(38,565,575) = 2469050


Lets's calculate GCF of 466,842,190

2 466, 842, 190
233, 421, 95

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2469050/2

Therefore the LCM of Fractions 38/466,565/842,575/190 is 1234525

Greatest Common Factor of 466,842,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,842,190 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 466,842,190 . The biggest common factor number is the GCF number.
So the greatest common factor 466,842,190 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 38/466, 565/842, 575/190

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 38/466, 565/842, 575/190?

Answer: LCM of Numerators as per given numbers 38/466, 565/842, 575/190 is

LCM of Numerators i.e. for 38,565,575 is 2469050

GCF of denominators i.e. for 466,842,190 is 2.

Thus, LCM of Fractions is 1234525.Finally, LCM of Fractions for 38/466, 565/842, 575/190 is 1234525.