Least Common Multiple of 17/577, 69/143, 333/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/577, 69/143, 333/663 quickly i.e. 130203 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/577, 69/143, 333/663 is 130203.

LCM(17/577, 69/143, 333/663) = 130203

LCM of 17/577, 69/143, 333/663

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 17/577,69/143,333/663

Given numbers are 17/577,69/143,333/663

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 17,69,333

Least Common Multiple of Numerators i.e. LCM of 17,69,333 is 130203.

GCF of Denominators means GCF of 577,143,663 as per the given fractions.

GCF of 577,143,663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,69,333

LCM of Fractions 17/577,69/143,333/663 is 130203

3 17, 69, 333
17, 23, 111

∴ So the LCM of the given numbers is 3 x 17 x 23 x 111 = 130203

Least Common Multiple of 17,69,333 with GCF Formula

Least Common Multiple of 17,69,333 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 17,69,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,69,333) = 1

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

GCF(17,69,333) x common factors =1 x 3 = 3

LCM(17,69,333) = ( 17 × 69 × 333 ) / 3

LCM(17,69,333) = 390609 / 3

LCM(17,69,333) = 130203


Lets's calculate GCF of 577,143,663

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130203/1

Therefore the LCM of Fractions 17/577,69/143,333/663 is 130203

Greatest Common Factor of 577,143,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,143,663 By Matching Biggest Common Factor Method

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 577,143,663 . The biggest common factor number is the GCF number.
So the greatest common factor 577,143,663 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 17/577, 69/143, 333/663

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 17/577, 69/143, 333/663?

Answer: LCM of Numerators as per given numbers 17/577, 69/143, 333/663 is

LCM of Numerators i.e. for 17,69,333 is 130203

GCF of denominators i.e. for 577,143,663 is 1.

Thus, LCM of Fractions is 130203.Finally, LCM of Fractions for 17/577, 69/143, 333/663 is 130203.