Least Common Multiple of 553/63, 512/19, 205/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 553/63, 512/19, 205/329 quickly i.e. 58042880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 553/63, 512/19, 205/329 is 58042880.

LCM(553/63, 512/19, 205/329) = 58042880

LCM of 553/63, 512/19, 205/329

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 553/63,512/19,205/329

Given numbers are 553/63,512/19,205/329

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 553,512,205

Least Common Multiple of Numerators i.e. LCM of 553,512,205 is 58042880.

GCF of Denominators means GCF of 63,19,329 as per the given fractions.

GCF of 63,19,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 553,512,205

LCM of Fractions 553/63,512/19,205/329 is 58042880

Given numbers has no common factors except 1. So, there LCM is their product i.e 58042880

Least Common Multiple of 553,512,205 with GCF Formula

Least Common Multiple of 553,512,205 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 553,512,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,512,205) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(553,512,205) x common factors =1 x 1 = 1

LCM(553,512,205) = ( 553 × 512 × 205 ) / 1

LCM(553,512,205) = 58042880 / 1

LCM(553,512,205) = 58042880


Lets's calculate GCF of 63,19,329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58042880/1

Therefore the LCM of Fractions 553/63,512/19,205/329 is 58042880

Greatest Common Factor of 63,19,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,19,329 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 63,19,329 . The biggest common factor number is the GCF number.
So the greatest common factor 63,19,329 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 553/63, 512/19, 205/329

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 553/63, 512/19, 205/329?

Answer: LCM of Numerators as per given numbers 553/63, 512/19, 205/329 is

LCM of Numerators i.e. for 553,512,205 is 58042880

GCF of denominators i.e. for 63,19,329 is 1.

Thus, LCM of Fractions is 58042880.Finally, LCM of Fractions for 553/63, 512/19, 205/329 is 58042880.