Least Common Multiple of 19/378, 613/74, 604/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/378, 613/74, 604/382 quickly i.e. 3517394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/378, 613/74, 604/382 is 3517394.

LCM(19/378, 613/74, 604/382) = 3517394

LCM of 19/378, 613/74, 604/382

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 19/378,613/74,604/382

Given numbers are 19/378,613/74,604/382

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 19,613,604

Least Common Multiple of Numerators i.e. LCM of 19,613,604 is 7034788.

GCF of Denominators means GCF of 378,74,382 as per the given fractions.

GCF of 378,74,382 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,613,604

LCM of Fractions 19/378,613/74,604/382 is 3517394

Given numbers has no common factors except 1. So, there LCM is their product i.e 7034788

Least Common Multiple of 19,613,604 with GCF Formula

Least Common Multiple of 19,613,604 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 19,613,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,613,604) = 1

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

GCF(19,613,604) x common factors =1 x 1 = 1

LCM(19,613,604) = ( 19 × 613 × 604 ) / 1

LCM(19,613,604) = 7034788 / 1

LCM(19,613,604) = 7034788


Lets's calculate GCF of 378,74,382

2 378, 74, 382
189, 37, 191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7034788/2

Therefore the LCM of Fractions 19/378,613/74,604/382 is 3517394

Greatest Common Factor of 378,74,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,74,382 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 378,74,382 . The biggest common factor number is the GCF number.
So the greatest common factor 378,74,382 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 19/378, 613/74, 604/382

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 19/378, 613/74, 604/382?

Answer: LCM of Numerators as per given numbers 19/378, 613/74, 604/382 is

LCM of Numerators i.e. for 19,613,604 is 7034788

GCF of denominators i.e. for 378,74,382 is 2.

Thus, LCM of Fractions is 3517394.Finally, LCM of Fractions for 19/378, 613/74, 604/382 is 3517394.