Least Common Multiple of 6784/363, 6321/1462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6784/363, 6321/1462 quickly i.e. 42881664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6784/363, 6321/1462 is 42881664.

LCM(6784/363, 6321/1462) = 42881664

LCM of 6784/363, 6321/1462

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 6784/363,6321/1462

Given numbers are 6784/363,6321/1462

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 6784,6321

Least Common Multiple of Numerators i.e. LCM of 6784,6321 is 42881664.

GCF of Denominators means GCF of 363,1462 as per the given fractions.

GCF of 363,1462 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6784,6321

LCM of Fractions 6784/363,6321/1462 is 42881664

Given numbers has no common factors except 1. So, there LCM is their product i.e 42881664

Least Common Multiple of 6784,6321 with GCF Formula

Least Common Multiple of 6784,6321 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 6784,6321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6784,6321) = 1

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

GCF(6784,6321) x common factors =1 x 1 = 1

LCM(6784,6321) = ( 6784 × 6321 ) / 1

LCM(6784,6321) = 42881664 / 1

LCM(6784,6321) = 42881664


Lets's calculate GCF of 363,1462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42881664/1

Therefore the LCM of Fractions 6784/363,6321/1462 is 42881664

Greatest Common Factor of 363,1462 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,1462 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 1462

List of positive integer factors of 1462 that divides 1462 without a remainder.

1,2,17,34,43,86,731,1462

Greatest Common Factor

We found the factors 363,1462 . The biggest common factor number is the GCF number.
So the greatest common factor 363,1462 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 6784/363, 6321/1462

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 6784/363, 6321/1462?

Answer: LCM of Numerators as per given numbers 6784/363, 6321/1462 is

LCM of Numerators i.e. for 6784,6321 is 42881664

GCF of denominators i.e. for 363,1462 is 1.

Thus, LCM of Fractions is 42881664.Finally, LCM of Fractions for 6784/363, 6321/1462 is 42881664.