Least Common Multiple of 19/519, 48/342, 405/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/519, 48/342, 405/379 quickly i.e. 123120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/519, 48/342, 405/379 is 123120.

LCM(19/519, 48/342, 405/379) = 123120

LCM of 19/519, 48/342, 405/379

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 19/519,48/342,405/379

Given numbers are 19/519,48/342,405/379

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 19,48,405

Least Common Multiple of Numerators i.e. LCM of 19,48,405 is 123120.

GCF of Denominators means GCF of 519,342,379 as per the given fractions.

GCF of 519,342,379 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,48,405

LCM of Fractions 19/519,48/342,405/379 is 123120

3 19, 48, 405
19, 16, 135

∴ So the LCM of the given numbers is 3 x 19 x 16 x 135 = 123120

Least Common Multiple of 19,48,405 with GCF Formula

Least Common Multiple of 19,48,405 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 19,48,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,48,405) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(19,48,405) x common factors =1 x 3 = 3

LCM(19,48,405) = ( 19 × 48 × 405 ) / 3

LCM(19,48,405) = 369360 / 3

LCM(19,48,405) = 123120


Lets's calculate GCF of 519,342,379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123120/1

Therefore the LCM of Fractions 19/519,48/342,405/379 is 123120

Greatest Common Factor of 519,342,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,342,379 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Greatest Common Factor

We found the factors 519,342,379 . The biggest common factor number is the GCF number.
So the greatest common factor 519,342,379 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 19/519, 48/342, 405/379

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 19/519, 48/342, 405/379?

Answer: LCM of Numerators as per given numbers 19/519, 48/342, 405/379 is

LCM of Numerators i.e. for 19,48,405 is 123120

GCF of denominators i.e. for 519,342,379 is 1.

Thus, LCM of Fractions is 123120.Finally, LCM of Fractions for 19/519, 48/342, 405/379 is 123120.