Least Common Multiple of 24/477, 8577/6030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/477, 8577/6030 quickly i.e. 7624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/477, 8577/6030 is 7624.

LCM(24/477, 8577/6030) = 7624

LCM of 24/477, 8577/6030

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 24/477,8577/6030

Given numbers are 24/477,8577/6030

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 24,8577

Least Common Multiple of Numerators i.e. LCM of 24,8577 is 68616.

GCF of Denominators means GCF of 477,6030 as per the given fractions.

GCF of 477,6030 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,8577

LCM of Fractions 24/477,8577/6030 is 7624

3 24, 8577
8, 2859

∴ So the LCM of the given numbers is 3 x 8 x 2859 = 68616

Least Common Multiple of 24,8577 with GCF Formula

Least Common Multiple of 24,8577 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 24,8577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,8577) = 3

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

GCF(24,8577) x common factors =3 x 1 = 3

LCM(24,8577) = ( 24 × 8577 ) / 3

LCM(24,8577) = 205848 / 3

LCM(24,8577) = 68616


Lets's calculate GCF of 477,6030

3 477, 6030
3 159, 2010
53, 670

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68616/9

Therefore the LCM of Fractions 24/477,8577/6030 is 7624

Greatest Common Factor of 477,6030 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,6030 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 6030

List of positive integer factors of 6030 that divides 6030 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,67,90,134,201,335,402,603,670,1005,1206,2010,3015,6030

Greatest Common Factor

We found the factors 477,6030 . The biggest common factor number is the GCF number.
So the greatest common factor 477,6030 is 9.


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 24/477, 8577/6030

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 24/477, 8577/6030?

Answer: LCM of Numerators as per given numbers 24/477, 8577/6030 is

LCM of Numerators i.e. for 24,8577 is 68616

GCF of denominators i.e. for 477,6030 is 9.

Thus, LCM of Fractions is 7624.Finally, LCM of Fractions for 24/477, 8577/6030 is 7624.