Least Common Multiple of 72/489, 45/823, 747/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/489, 45/823, 747/564 quickly i.e. 29880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/489, 45/823, 747/564 is 29880.

LCM(72/489, 45/823, 747/564) = 29880

LCM of 72/489, 45/823, 747/564

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 72/489,45/823,747/564

Given numbers are 72/489,45/823,747/564

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 72,45,747

Least Common Multiple of Numerators i.e. LCM of 72,45,747 is 29880.

GCF of Denominators means GCF of 489,823,564 as per the given fractions.

GCF of 489,823,564 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,45,747

LCM of Fractions 72/489,45/823,747/564 is 29880

3 72, 45, 747
3 24, 15, 249
8, 5, 83

∴ So the LCM of the given numbers is 3 x 3 x 8 x 5 x 83 = 29880

Least Common Multiple of 72,45,747 with GCF Formula

Least Common Multiple of 72,45,747 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 72,45,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,45,747) = 9

common factors(in case of two or more numbers have common factors) = 9

GCF(72,45,747) x common factors =9 x 9 = 81

LCM(72,45,747) = ( 72 × 45 × 747 ) / 81

LCM(72,45,747) = 2420280 / 81

LCM(72,45,747) = 29880


Lets's calculate GCF of 489,823,564

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29880/1

Therefore the LCM of Fractions 72/489,45/823,747/564 is 29880

Greatest Common Factor of 489,823,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,823,564 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 489,823,564 . The biggest common factor number is the GCF number.
So the greatest common factor 489,823,564 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 72/489, 45/823, 747/564

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 72/489, 45/823, 747/564?

Answer: LCM of Numerators as per given numbers 72/489, 45/823, 747/564 is

LCM of Numerators i.e. for 72,45,747 is 29880

GCF of denominators i.e. for 489,823,564 is 1.

Thus, LCM of Fractions is 29880.Finally, LCM of Fractions for 72/489, 45/823, 747/564 is 29880.