Least Common Multiple of 6549/381, 4329/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6549/381, 4329/463 quickly i.e. 255411 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6549/381, 4329/463 is 255411.

LCM(6549/381, 4329/463) = 255411

LCM of 6549/381, 4329/463

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 6549/381,4329/463

Given numbers are 6549/381,4329/463

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 6549,4329

Least Common Multiple of Numerators i.e. LCM of 6549,4329 is 255411.

GCF of Denominators means GCF of 381,463 as per the given fractions.

GCF of 381,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6549,4329

LCM of Fractions 6549/381,4329/463 is 255411

3 6549, 4329
37 2183, 1443
59, 39

∴ So the LCM of the given numbers is 3 x 37 x 59 x 39 = 255411

Least Common Multiple of 6549,4329 with GCF Formula

Least Common Multiple of 6549,4329 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 6549,4329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6549,4329) = 111

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

GCF(6549,4329) x common factors =111 x 1 = 111

LCM(6549,4329) = ( 6549 × 4329 ) / 111

LCM(6549,4329) = 28350621 / 111

LCM(6549,4329) = 255411


Lets's calculate GCF of 381,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255411/1

Therefore the LCM of Fractions 6549/381,4329/463 is 255411

Greatest Common Factor of 381,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,463 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 381,463 . The biggest common factor number is the GCF number.
So the greatest common factor 381,463 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 6549/381, 4329/463

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 6549/381, 4329/463?

Answer: LCM of Numerators as per given numbers 6549/381, 4329/463 is

LCM of Numerators i.e. for 6549,4329 is 255411

GCF of denominators i.e. for 381,463 is 1.

Thus, LCM of Fractions is 255411.Finally, LCM of Fractions for 6549/381, 4329/463 is 255411.