Least Common Multiple of 565/30, 543/22, 565/59

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 565/30, 543/22, 565/59 quickly i.e. 306795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 565/30, 543/22, 565/59 is 306795.

LCM(565/30, 543/22, 565/59) = 306795

LCM of 565/30, 543/22, 565/59

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 565/30,543/22,565/59

Given numbers are 565/30,543/22,565/59

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 565,543,565

Least Common Multiple of Numerators i.e. LCM of 565,543,565 is 306795.

GCF of Denominators means GCF of 30,22,59 as per the given fractions.

GCF of 30,22,59 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 565,543,565

LCM of Fractions 565/30,543/22,565/59 is 306795

5 565, 543, 565
113 113, 543, 113
1, 543, 1

∴ So the LCM of the given numbers is 5 x 113 x 1 x 543 x 1 = 306795

Least Common Multiple of 565,543,565 with GCF Formula

Least Common Multiple of 565,543,565 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 565,543,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,543,565) = 1

common factors(in case of two or more numbers have common factors) = 565

GCF(565,543,565) x common factors =1 x 565 = 565

LCM(565,543,565) = ( 565 × 543 × 565 ) / 565

LCM(565,543,565) = 173339175 / 565

LCM(565,543,565) = 306795


Lets's calculate GCF of 30,22,59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306795/1

Therefore the LCM of Fractions 565/30,543/22,565/59 is 306795

Greatest Common Factor of 30,22,59 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,22,59 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Greatest Common Factor

We found the factors 30,22,59 . The biggest common factor number is the GCF number.
So the greatest common factor 30,22,59 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 565/30, 543/22, 565/59

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 565/30, 543/22, 565/59?

Answer: LCM of Numerators as per given numbers 565/30, 543/22, 565/59 is

LCM of Numerators i.e. for 565,543,565 is 306795

GCF of denominators i.e. for 30,22,59 is 1.

Thus, LCM of Fractions is 306795.Finally, LCM of Fractions for 565/30, 543/22, 565/59 is 306795.