Least Common Multiple of 19/48, 41/68, 415/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/48, 41/68, 415/496 quickly i.e. 323285/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/48, 41/68, 415/496 is 323285/4.

LCM(19/48, 41/68, 415/496) = 323285/4

LCM of 19/48, 41/68, 415/496

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 19/48,41/68,415/496

Given numbers are 19/48,41/68,415/496

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 19,41,415

Least Common Multiple of Numerators i.e. LCM of 19,41,415 is 323285.

GCF of Denominators means GCF of 48,68,496 as per the given fractions.

GCF of 48,68,496 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,41,415

LCM of Fractions 19/48,41/68,415/496 is 323285/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 323285

Least Common Multiple of 19,41,415 with GCF Formula

Least Common Multiple of 19,41,415 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 19,41,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,41,415) = 1

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

GCF(19,41,415) x common factors =1 x 1 = 1

LCM(19,41,415) = ( 19 × 41 × 415 ) / 1

LCM(19,41,415) = 323285 / 1

LCM(19,41,415) = 323285


Lets's calculate GCF of 48,68,496

2 48, 68, 496
2 24, 34, 248
12, 17, 124

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323285/4

Therefore the LCM of Fractions 19/48,41/68,415/496 is 323285/4

Greatest Common Factor of 48,68,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,68,496 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 48,68,496 . The biggest common factor number is the GCF number.
So the greatest common factor 48,68,496 is 4.


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 19/48, 41/68, 415/496

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 19/48, 41/68, 415/496?

Answer: LCM of Numerators as per given numbers 19/48, 41/68, 415/496 is

LCM of Numerators i.e. for 19,41,415 is 323285

GCF of denominators i.e. for 48,68,496 is 4.

Thus, LCM of Fractions is 323285/4.Finally, LCM of Fractions for 19/48, 41/68, 415/496 is 323285/4.