Least Common Multiple of 561/66, 225/24, 478/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 561/66, 225/24, 478/555 quickly i.e. 6703950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 561/66, 225/24, 478/555 is 6703950.

LCM(561/66, 225/24, 478/555) = 6703950

LCM of 561/66, 225/24, 478/555

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 561/66,225/24,478/555

Given numbers are 561/66,225/24,478/555

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 561,225,478

Least Common Multiple of Numerators i.e. LCM of 561,225,478 is 20111850.

GCF of Denominators means GCF of 66,24,555 as per the given fractions.

GCF of 66,24,555 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 561,225,478

LCM of Fractions 561/66,225/24,478/555 is 6703950

3 561, 225, 478
187, 75, 478

∴ So the LCM of the given numbers is 3 x 187 x 75 x 478 = 20111850

Least Common Multiple of 561,225,478 with GCF Formula

Least Common Multiple of 561,225,478 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 561,225,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,225,478) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(561,225,478) x common factors =1 x 3 = 3

LCM(561,225,478) = ( 561 × 225 × 478 ) / 3

LCM(561,225,478) = 60335550 / 3

LCM(561,225,478) = 20111850


Lets's calculate GCF of 66,24,555

3 66, 24, 555
22, 8, 185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20111850/3

Therefore the LCM of Fractions 561/66,225/24,478/555 is 6703950

Greatest Common Factor of 66,24,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,24,555 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 66,24,555 . The biggest common factor number is the GCF number.
So the greatest common factor 66,24,555 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 561/66, 225/24, 478/555

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 561/66, 225/24, 478/555?

Answer: LCM of Numerators as per given numbers 561/66, 225/24, 478/555 is

LCM of Numerators i.e. for 561,225,478 is 20111850

GCF of denominators i.e. for 66,24,555 is 3.

Thus, LCM of Fractions is 6703950.Finally, LCM of Fractions for 561/66, 225/24, 478/555 is 6703950.