Least Common Multiple of 566/24, 359/13, 566/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 566/24, 359/13, 566/758 quickly i.e. 203194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 566/24, 359/13, 566/758 is 203194.

LCM(566/24, 359/13, 566/758) = 203194

LCM of 566/24, 359/13, 566/758

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 566/24,359/13,566/758

Given numbers are 566/24,359/13,566/758

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 566,359,566

Least Common Multiple of Numerators i.e. LCM of 566,359,566 is 203194.

GCF of Denominators means GCF of 24,13,758 as per the given fractions.

GCF of 24,13,758 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 566,359,566

LCM of Fractions 566/24,359/13,566/758 is 203194

2 566, 359, 566
283 283, 359, 283
1, 359, 1

∴ So the LCM of the given numbers is 2 x 283 x 1 x 359 x 1 = 203194

Least Common Multiple of 566,359,566 with GCF Formula

Least Common Multiple of 566,359,566 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 566,359,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,359,566) = 1

common factors(in case of two or more numbers have common factors) = 566

GCF(566,359,566) x common factors =1 x 566 = 566

LCM(566,359,566) = ( 566 × 359 × 566 ) / 566

LCM(566,359,566) = 115007804 / 566

LCM(566,359,566) = 203194


Lets's calculate GCF of 24,13,758

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203194/1

Therefore the LCM of Fractions 566/24,359/13,566/758 is 203194

Greatest Common Factor of 24,13,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,13,758 By Matching Biggest Common Factor Method

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 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 24,13,758 . The biggest common factor number is the GCF number.
So the greatest common factor 24,13,758 is 1.


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 566/24, 359/13, 566/758

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 566/24, 359/13, 566/758?

Answer: LCM of Numerators as per given numbers 566/24, 359/13, 566/758 is

LCM of Numerators i.e. for 566,359,566 is 203194

GCF of denominators i.e. for 24,13,758 is 1.

Thus, LCM of Fractions is 203194.Finally, LCM of Fractions for 566/24, 359/13, 566/758 is 203194.