Least Common Multiple of 19/292, 38/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/292, 38/438 quickly i.e. 38/146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/292, 38/438 is 38/146.

LCM(19/292, 38/438) = 38/146

LCM of 19/292, 38/438

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 19/292,38/438

Given numbers are 19/292,38/438

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 19,38

Least Common Multiple of Numerators i.e. LCM of 19,38 is 38.

GCF of Denominators means GCF of 292,438 as per the given fractions.

GCF of 292,438 is 146 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,38

LCM of Fractions 19/292,38/438 is 38/146

19 19, 38
1, 2

∴ So the LCM of the given numbers is 19 x 1 x 2 = 38

Least Common Multiple of 19,38 with GCF Formula

Least Common Multiple of 19,38 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 19,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,38) = 19

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

GCF(19,38) x common factors =19 x 1 = 19

LCM(19,38) = ( 19 × 38 ) / 19

LCM(19,38) = 722 / 19

LCM(19,38) = 38


Lets's calculate GCF of 292,438

2 292, 438
73 146, 219
2, 3

∴ So the GCF of the given numbers is 2 x 73 = 146

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38/146

Therefore the LCM of Fractions 19/292,38/438 is 38/146

Greatest Common Factor of 292,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,438 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 292,438 . The biggest common factor number is the GCF number.
So the greatest common factor 292,438 is 146.


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 19/292, 38/438

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 19/292, 38/438?

Answer: LCM of Numerators as per given numbers 19/292, 38/438 is

LCM of Numerators i.e. for 19,38 is 38

GCF of denominators i.e. for 292,438 is 146.

Thus, LCM of Fractions is 38/146.Finally, LCM of Fractions for 19/292, 38/438 is 38/146.