Least Common Multiple of 576/54, 292/9577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 576/54, 292/9577 quickly i.e. 42048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 576/54, 292/9577 is 42048.

LCM(576/54, 292/9577) = 42048

LCM of 576/54, 292/9577

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 576/54,292/9577

Given numbers are 576/54,292/9577

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 576,292

Least Common Multiple of Numerators i.e. LCM of 576,292 is 42048.

GCF of Denominators means GCF of 54,9577 as per the given fractions.

GCF of 54,9577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 576,292

LCM of Fractions 576/54,292/9577 is 42048

2 576, 292
2 288, 146
144, 73

∴ So the LCM of the given numbers is 2 x 2 x 144 x 73 = 42048

Least Common Multiple of 576,292 with GCF Formula

Least Common Multiple of 576,292 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 576,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,292) = 4

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

GCF(576,292) x common factors =4 x 1 = 4

LCM(576,292) = ( 576 × 292 ) / 4

LCM(576,292) = 168192 / 4

LCM(576,292) = 42048


Lets's calculate GCF of 54,9577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42048/1

Therefore the LCM of Fractions 576/54,292/9577 is 42048

Greatest Common Factor of 54,9577 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,9577 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 9577

List of positive integer factors of 9577 that divides 9577 without a remainder.

1,61,157,9577

Greatest Common Factor

We found the factors 54,9577 . The biggest common factor number is the GCF number.
So the greatest common factor 54,9577 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 576/54, 292/9577

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 576/54, 292/9577?

Answer: LCM of Numerators as per given numbers 576/54, 292/9577 is

LCM of Numerators i.e. for 576,292 is 42048

GCF of denominators i.e. for 54,9577 is 1.

Thus, LCM of Fractions is 42048.Finally, LCM of Fractions for 576/54, 292/9577 is 42048.