Least Common Multiple of 243/25, 573/55, 229/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 243/25, 573/55, 229/17 quickly i.e. 10628577 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 243/25, 573/55, 229/17 is 10628577.

LCM(243/25, 573/55, 229/17) = 10628577

LCM of 243/25, 573/55, 229/17

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 243/25,573/55,229/17

Given numbers are 243/25,573/55,229/17

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 243,573,229

Least Common Multiple of Numerators i.e. LCM of 243,573,229 is 10628577.

GCF of Denominators means GCF of 25,55,17 as per the given fractions.

GCF of 25,55,17 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 243,573,229

LCM of Fractions 243/25,573/55,229/17 is 10628577

3 243, 573, 229
81, 191, 229

∴ So the LCM of the given numbers is 3 x 81 x 191 x 229 = 10628577

Least Common Multiple of 243,573,229 with GCF Formula

Least Common Multiple of 243,573,229 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 243,573,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,573,229) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(243,573,229) x common factors =1 x 3 = 3

LCM(243,573,229) = ( 243 × 573 × 229 ) / 3

LCM(243,573,229) = 31885731 / 3

LCM(243,573,229) = 10628577


Lets's calculate GCF of 25,55,17

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10628577/1

Therefore the LCM of Fractions 243/25,573/55,229/17 is 10628577

Greatest Common Factor of 25,55,17 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,55,17 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Greatest Common Factor

We found the factors 25,55,17 . The biggest common factor number is the GCF number.
So the greatest common factor 25,55,17 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 243/25, 573/55, 229/17

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 243/25, 573/55, 229/17?

Answer: LCM of Numerators as per given numbers 243/25, 573/55, 229/17 is

LCM of Numerators i.e. for 243,573,229 is 10628577

GCF of denominators i.e. for 25,55,17 is 1.

Thus, LCM of Fractions is 10628577.Finally, LCM of Fractions for 243/25, 573/55, 229/17 is 10628577.