Least Common Multiple of 23/866, 520/34, 286/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/866, 520/34, 286/494 quickly i.e. 65780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/866, 520/34, 286/494 is 65780.

LCM(23/866, 520/34, 286/494) = 65780

LCM of 23/866, 520/34, 286/494

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 23/866,520/34,286/494

Given numbers are 23/866,520/34,286/494

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 23,520,286

Least Common Multiple of Numerators i.e. LCM of 23,520,286 is 131560.

GCF of Denominators means GCF of 866,34,494 as per the given fractions.

GCF of 866,34,494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,520,286

LCM of Fractions 23/866,520/34,286/494 is 65780

2 23, 520, 286
13 23, 260, 143
23, 20, 11

∴ So the LCM of the given numbers is 2 x 13 x 23 x 20 x 11 = 131560

Least Common Multiple of 23,520,286 with GCF Formula

Least Common Multiple of 23,520,286 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 23,520,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,520,286) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(23,520,286) x common factors =1 x 26 = 26

LCM(23,520,286) = ( 23 × 520 × 286 ) / 26

LCM(23,520,286) = 3420560 / 26

LCM(23,520,286) = 131560


Lets's calculate GCF of 866,34,494

2 866, 34, 494
433, 17, 247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131560/2

Therefore the LCM of Fractions 23/866,520/34,286/494 is 65780

Greatest Common Factor of 866,34,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 866,34,494 By Matching Biggest Common Factor Method

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 866,34,494 . The biggest common factor number is the GCF number.
So the greatest common factor 866,34,494 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 23/866, 520/34, 286/494

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 23/866, 520/34, 286/494?

Answer: LCM of Numerators as per given numbers 23/866, 520/34, 286/494 is

LCM of Numerators i.e. for 23,520,286 is 131560

GCF of denominators i.e. for 866,34,494 is 2.

Thus, LCM of Fractions is 65780.Finally, LCM of Fractions for 23/866, 520/34, 286/494 is 65780.