Least Common Multiple of 56/65, 30/820, 566/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/65, 30/820, 566/665 quickly i.e. 47544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/65, 30/820, 566/665 is 47544.

LCM(56/65, 30/820, 566/665) = 47544

LCM of 56/65, 30/820, 566/665

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 56/65,30/820,566/665

Given numbers are 56/65,30/820,566/665

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 56,30,566

Least Common Multiple of Numerators i.e. LCM of 56,30,566 is 237720.

GCF of Denominators means GCF of 65,820,665 as per the given fractions.

GCF of 65,820,665 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,30,566

LCM of Fractions 56/65,30/820,566/665 is 47544

2 56, 30, 566
28, 15, 283

∴ So the LCM of the given numbers is 2 x 28 x 15 x 283 = 237720

Least Common Multiple of 56,30,566 with GCF Formula

Least Common Multiple of 56,30,566 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 56,30,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,30,566) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(56,30,566) x common factors =2 x 2 = 4

LCM(56,30,566) = ( 56 × 30 × 566 ) / 4

LCM(56,30,566) = 950880 / 4

LCM(56,30,566) = 237720


Lets's calculate GCF of 65,820,665

5 65, 820, 665
13, 164, 133

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237720/5

Therefore the LCM of Fractions 56/65,30/820,566/665 is 47544

Greatest Common Factor of 65,820,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,820,665 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 65,820,665 . The biggest common factor number is the GCF number.
So the greatest common factor 65,820,665 is 5.


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 56/65, 30/820, 566/665

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 56/65, 30/820, 566/665?

Answer: LCM of Numerators as per given numbers 56/65, 30/820, 566/665 is

LCM of Numerators i.e. for 56,30,566 is 237720

GCF of denominators i.e. for 65,820,665 is 5.

Thus, LCM of Fractions is 47544.Finally, LCM of Fractions for 56/65, 30/820, 566/665 is 47544.