Least Common Multiple of 38/426, 30/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/426, 30/190 quickly i.e. 285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/426, 30/190 is 285.

LCM(38/426, 30/190) = 285

LCM of 38/426, 30/190

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 38/426,30/190

Given numbers are 38/426,30/190

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 38,30

Least Common Multiple of Numerators i.e. LCM of 38,30 is 570.

GCF of Denominators means GCF of 426,190 as per the given fractions.

GCF of 426,190 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,30

LCM of Fractions 38/426,30/190 is 285

2 38, 30
19, 15

∴ So the LCM of the given numbers is 2 x 19 x 15 = 570

Least Common Multiple of 38,30 with GCF Formula

Least Common Multiple of 38,30 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 38,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,30) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(38,30) x common factors =2 x 1 = 2

LCM(38,30) = ( 38 × 30 ) / 2

LCM(38,30) = 1140 / 2

LCM(38,30) = 570


Lets's calculate GCF of 426,190

2 426, 190
213, 95

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 570/2

Therefore the LCM of Fractions 38/426,30/190 is 285

Greatest Common Factor of 426,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,190 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

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 426,190 . The biggest common factor number is the GCF number.
So the greatest common factor 426,190 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 38/426, 30/190

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 38/426, 30/190?

Answer: LCM of Numerators as per given numbers 38/426, 30/190 is

LCM of Numerators i.e. for 38,30 is 570

GCF of denominators i.e. for 426,190 is 2.

Thus, LCM of Fractions is 285.Finally, LCM of Fractions for 38/426, 30/190 is 285.