Least Common Multiple of 99/578, 75/163, 229/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/578, 75/163, 229/553 quickly i.e. 566775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/578, 75/163, 229/553 is 566775.

LCM(99/578, 75/163, 229/553) = 566775

LCM of 99/578, 75/163, 229/553

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 99/578,75/163,229/553

Given numbers are 99/578,75/163,229/553

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 99,75,229

Least Common Multiple of Numerators i.e. LCM of 99,75,229 is 566775.

GCF of Denominators means GCF of 578,163,553 as per the given fractions.

GCF of 578,163,553 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,75,229

LCM of Fractions 99/578,75/163,229/553 is 566775

3 99, 75, 229
33, 25, 229

∴ So the LCM of the given numbers is 3 x 33 x 25 x 229 = 566775

Least Common Multiple of 99,75,229 with GCF Formula

Least Common Multiple of 99,75,229 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 99,75,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,75,229) = 1

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

GCF(99,75,229) x common factors =1 x 3 = 3

LCM(99,75,229) = ( 99 × 75 × 229 ) / 3

LCM(99,75,229) = 1700325 / 3

LCM(99,75,229) = 566775


Lets's calculate GCF of 578,163,553

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 566775/1

Therefore the LCM of Fractions 99/578,75/163,229/553 is 566775

Greatest Common Factor of 578,163,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,163,553 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Greatest Common Factor

We found the factors 578,163,553 . The biggest common factor number is the GCF number.
So the greatest common factor 578,163,553 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 99/578, 75/163, 229/553

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 99/578, 75/163, 229/553?

Answer: LCM of Numerators as per given numbers 99/578, 75/163, 229/553 is

LCM of Numerators i.e. for 99,75,229 is 566775

GCF of denominators i.e. for 578,163,553 is 1.

Thus, LCM of Fractions is 566775.Finally, LCM of Fractions for 99/578, 75/163, 229/553 is 566775.