Least Common Multiple of 546/663, 6697/8513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/663, 6697/8513 quickly i.e. 3656562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/663, 6697/8513 is 3656562.

LCM(546/663, 6697/8513) = 3656562

LCM of 546/663, 6697/8513

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 546/663,6697/8513

Given numbers are 546/663,6697/8513

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 546,6697

Least Common Multiple of Numerators i.e. LCM of 546,6697 is 3656562.

GCF of Denominators means GCF of 663,8513 as per the given fractions.

GCF of 663,8513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,6697

LCM of Fractions 546/663,6697/8513 is 3656562

Given numbers has no common factors except 1. So, there LCM is their product i.e 3656562

Least Common Multiple of 546,6697 with GCF Formula

Least Common Multiple of 546,6697 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 546,6697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,6697) = 1

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

GCF(546,6697) x common factors =1 x 1 = 1

LCM(546,6697) = ( 546 × 6697 ) / 1

LCM(546,6697) = 3656562 / 1

LCM(546,6697) = 3656562


Lets's calculate GCF of 663,8513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3656562/1

Therefore the LCM of Fractions 546/663,6697/8513 is 3656562

Greatest Common Factor of 663,8513 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,8513 By Matching Biggest Common Factor Method

Factors of 663

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

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

Factors of 8513

List of positive integer factors of 8513 that divides 8513 without a remainder.

1,8513

Greatest Common Factor

We found the factors 663,8513 . The biggest common factor number is the GCF number.
So the greatest common factor 663,8513 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 546/663, 6697/8513

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 546/663, 6697/8513?

Answer: LCM of Numerators as per given numbers 546/663, 6697/8513 is

LCM of Numerators i.e. for 546,6697 is 3656562

GCF of denominators i.e. for 663,8513 is 1.

Thus, LCM of Fractions is 3656562.Finally, LCM of Fractions for 546/663, 6697/8513 is 3656562.