Least Common Multiple of 45/574, 384/531, 576/947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/574, 384/531, 576/947 quickly i.e. 5760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/574, 384/531, 576/947 is 5760.

LCM(45/574, 384/531, 576/947) = 5760

LCM of 45/574, 384/531, 576/947

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 45/574,384/531,576/947

Given numbers are 45/574,384/531,576/947

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 45,384,576

Least Common Multiple of Numerators i.e. LCM of 45,384,576 is 5760.

GCF of Denominators means GCF of 574,531,947 as per the given fractions.

GCF of 574,531,947 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,384,576

LCM of Fractions 45/574,384/531,576/947 is 5760

2 45, 384, 576
2 45, 192, 288
2 45, 96, 144
2 45, 48, 72
2 45, 24, 36
2 45, 12, 18
3 45, 6, 9
3 15, 2, 3
5, 2, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 2 x 1 = 5760

Least Common Multiple of 45,384,576 with GCF Formula

Least Common Multiple of 45,384,576 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 45,384,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,384,576) = 3

common factors(in case of two or more numbers have common factors) = 576

GCF(45,384,576) x common factors =3 x 576 = 1728

LCM(45,384,576) = ( 45 × 384 × 576 ) / 1728

LCM(45,384,576) = 9953280 / 1728

LCM(45,384,576) = 5760


Lets's calculate GCF of 574,531,947

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5760/1

Therefore the LCM of Fractions 45/574,384/531,576/947 is 5760

Greatest Common Factor of 574,531,947 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,531,947 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Greatest Common Factor

We found the factors 574,531,947 . The biggest common factor number is the GCF number.
So the greatest common factor 574,531,947 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 45/574, 384/531, 576/947

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 45/574, 384/531, 576/947?

Answer: LCM of Numerators as per given numbers 45/574, 384/531, 576/947 is

LCM of Numerators i.e. for 45,384,576 is 5760

GCF of denominators i.e. for 574,531,947 is 1.

Thus, LCM of Fractions is 5760.Finally, LCM of Fractions for 45/574, 384/531, 576/947 is 5760.