Least Common Multiple of 493/507, 7293/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/507, 7293/522 quickly i.e. 70499 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/507, 7293/522 is 70499.

LCM(493/507, 7293/522) = 70499

LCM of 493/507, 7293/522

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 493/507,7293/522

Given numbers are 493/507,7293/522

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 493,7293

Least Common Multiple of Numerators i.e. LCM of 493,7293 is 211497.

GCF of Denominators means GCF of 507,522 as per the given fractions.

GCF of 507,522 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,7293

LCM of Fractions 493/507,7293/522 is 70499

17 493, 7293
29, 429

∴ So the LCM of the given numbers is 17 x 29 x 429 = 211497

Least Common Multiple of 493,7293 with GCF Formula

Least Common Multiple of 493,7293 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 493,7293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,7293) = 17

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

GCF(493,7293) x common factors =17 x 1 = 17

LCM(493,7293) = ( 493 × 7293 ) / 17

LCM(493,7293) = 3595449 / 17

LCM(493,7293) = 211497


Lets's calculate GCF of 507,522

3 507, 522
169, 174

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211497/3

Therefore the LCM of Fractions 493/507,7293/522 is 70499

Greatest Common Factor of 507,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,522 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 507,522 . The biggest common factor number is the GCF number.
So the greatest common factor 507,522 is 3.


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 493/507, 7293/522

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 493/507, 7293/522?

Answer: LCM of Numerators as per given numbers 493/507, 7293/522 is

LCM of Numerators i.e. for 493,7293 is 211497

GCF of denominators i.e. for 507,522 is 3.

Thus, LCM of Fractions is 70499.Finally, LCM of Fractions for 493/507, 7293/522 is 70499.