Least Common Multiple of 6573/84, 7296/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6573/84, 7296/658 quickly i.e. 1141824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6573/84, 7296/658 is 1141824.

LCM(6573/84, 7296/658) = 1141824

LCM of 6573/84, 7296/658

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 6573/84,7296/658

Given numbers are 6573/84,7296/658

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 6573,7296

Least Common Multiple of Numerators i.e. LCM of 6573,7296 is 15985536.

GCF of Denominators means GCF of 84,658 as per the given fractions.

GCF of 84,658 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6573,7296

LCM of Fractions 6573/84,7296/658 is 1141824

3 6573, 7296
2191, 2432

∴ So the LCM of the given numbers is 3 x 2191 x 2432 = 15985536

Least Common Multiple of 6573,7296 with GCF Formula

Least Common Multiple of 6573,7296 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 6573,7296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6573,7296) = 3

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

GCF(6573,7296) x common factors =3 x 1 = 3

LCM(6573,7296) = ( 6573 × 7296 ) / 3

LCM(6573,7296) = 47956608 / 3

LCM(6573,7296) = 15985536


Lets's calculate GCF of 84,658

2 84, 658
7 42, 329
6, 47

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15985536/14

Therefore the LCM of Fractions 6573/84,7296/658 is 1141824

Greatest Common Factor of 84,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,658 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 84,658 . The biggest common factor number is the GCF number.
So the greatest common factor 84,658 is 14.


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 6573/84, 7296/658

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 6573/84, 7296/658?

Answer: LCM of Numerators as per given numbers 6573/84, 7296/658 is

LCM of Numerators i.e. for 6573,7296 is 15985536

GCF of denominators i.e. for 84,658 is 14.

Thus, LCM of Fractions is 1141824.Finally, LCM of Fractions for 6573/84, 7296/658 is 1141824.