Least Common Multiple of 19/415, 72/106, 540/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/415, 72/106, 540/963 quickly i.e. 20520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/415, 72/106, 540/963 is 20520.

LCM(19/415, 72/106, 540/963) = 20520

LCM of 19/415, 72/106, 540/963

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 19/415,72/106,540/963

Given numbers are 19/415,72/106,540/963

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 19,72,540

Least Common Multiple of Numerators i.e. LCM of 19,72,540 is 20520.

GCF of Denominators means GCF of 415,106,963 as per the given fractions.

GCF of 415,106,963 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,72,540

LCM of Fractions 19/415,72/106,540/963 is 20520

2 19, 72, 540
2 19, 36, 270
3 19, 18, 135
3 19, 6, 45
19, 2, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 19 x 2 x 15 = 20520

Least Common Multiple of 19,72,540 with GCF Formula

Least Common Multiple of 19,72,540 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 19,72,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,72,540) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(19,72,540) x common factors =1 x 36 = 36

LCM(19,72,540) = ( 19 × 72 × 540 ) / 36

LCM(19,72,540) = 738720 / 36

LCM(19,72,540) = 20520


Lets's calculate GCF of 415,106,963

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20520/1

Therefore the LCM of Fractions 19/415,72/106,540/963 is 20520

Greatest Common Factor of 415,106,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,106,963 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 415,106,963 . The biggest common factor number is the GCF number.
So the greatest common factor 415,106,963 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 19/415, 72/106, 540/963

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 19/415, 72/106, 540/963?

Answer: LCM of Numerators as per given numbers 19/415, 72/106, 540/963 is

LCM of Numerators i.e. for 19,72,540 is 20520

GCF of denominators i.e. for 415,106,963 is 1.

Thus, LCM of Fractions is 20520.Finally, LCM of Fractions for 19/415, 72/106, 540/963 is 20520.