Least Common Multiple of 622/566, 660/920, 423/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 622/566, 660/920, 423/288 quickly i.e. 14470830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 622/566, 660/920, 423/288 is 14470830.

LCM(622/566, 660/920, 423/288) = 14470830

LCM of 622/566, 660/920, 423/288

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 622/566,660/920,423/288

Given numbers are 622/566,660/920,423/288

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 622,660,423

Least Common Multiple of Numerators i.e. LCM of 622,660,423 is 28941660.

GCF of Denominators means GCF of 566,920,288 as per the given fractions.

GCF of 566,920,288 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 622,660,423

LCM of Fractions 622/566,660/920,423/288 is 14470830

2 622, 660, 423
3 311, 330, 423
311, 110, 141

∴ So the LCM of the given numbers is 2 x 3 x 311 x 110 x 141 = 28941660

Least Common Multiple of 622,660,423 with GCF Formula

Least Common Multiple of 622,660,423 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 622,660,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,660,423) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(622,660,423) x common factors =1 x 6 = 6

LCM(622,660,423) = ( 622 × 660 × 423 ) / 6

LCM(622,660,423) = 173649960 / 6

LCM(622,660,423) = 28941660


Lets's calculate GCF of 566,920,288

2 566, 920, 288
283, 460, 144

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28941660/2

Therefore the LCM of Fractions 622/566,660/920,423/288 is 14470830

Greatest Common Factor of 566,920,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,920,288 By Matching Biggest Common Factor Method

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 566,920,288 . The biggest common factor number is the GCF number.
So the greatest common factor 566,920,288 is 2.


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 622/566, 660/920, 423/288

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 622/566, 660/920, 423/288?

Answer: LCM of Numerators as per given numbers 622/566, 660/920, 423/288 is

LCM of Numerators i.e. for 622,660,423 is 28941660

GCF of denominators i.e. for 566,920,288 is 2.

Thus, LCM of Fractions is 14470830.Finally, LCM of Fractions for 622/566, 660/920, 423/288 is 14470830.