Least Common Multiple of 19/45, 64/87, 73/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/45, 64/87, 73/747 quickly i.e. 88768/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/45, 64/87, 73/747 is 88768/3.

LCM(19/45, 64/87, 73/747) = 88768/3

LCM of 19/45, 64/87, 73/747

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 19/45,64/87,73/747

Given numbers are 19/45,64/87,73/747

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 19,64,73

Least Common Multiple of Numerators i.e. LCM of 19,64,73 is 88768.

GCF of Denominators means GCF of 45,87,747 as per the given fractions.

GCF of 45,87,747 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,64,73

LCM of Fractions 19/45,64/87,73/747 is 88768/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 88768

Least Common Multiple of 19,64,73 with GCF Formula

Least Common Multiple of 19,64,73 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 19,64,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,64,73) = 1

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

GCF(19,64,73) x common factors =1 x 1 = 1

LCM(19,64,73) = ( 19 × 64 × 73 ) / 1

LCM(19,64,73) = 88768 / 1

LCM(19,64,73) = 88768


Lets's calculate GCF of 45,87,747

3 45, 87, 747
15, 29, 249

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88768/3

Therefore the LCM of Fractions 19/45,64/87,73/747 is 88768/3

Greatest Common Factor of 45,87,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,87,747 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 45,87,747 . The biggest common factor number is the GCF number.
So the greatest common factor 45,87,747 is 3.


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 19/45, 64/87, 73/747

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 19/45, 64/87, 73/747?

Answer: LCM of Numerators as per given numbers 19/45, 64/87, 73/747 is

LCM of Numerators i.e. for 19,64,73 is 88768

GCF of denominators i.e. for 45,87,747 is 3.

Thus, LCM of Fractions is 88768/3.Finally, LCM of Fractions for 19/45, 64/87, 73/747 is 88768/3.