Least Common Multiple of 493/413, 6273/9602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/413, 6273/9602 quickly i.e. 181917 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/413, 6273/9602 is 181917.

LCM(493/413, 6273/9602) = 181917

LCM of 493/413, 6273/9602

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 493/413,6273/9602

Given numbers are 493/413,6273/9602

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 493,6273

Least Common Multiple of Numerators i.e. LCM of 493,6273 is 181917.

GCF of Denominators means GCF of 413,9602 as per the given fractions.

GCF of 413,9602 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,6273

LCM of Fractions 493/413,6273/9602 is 181917

17 493, 6273
29, 369

∴ So the LCM of the given numbers is 17 x 29 x 369 = 181917

Least Common Multiple of 493,6273 with GCF Formula

Least Common Multiple of 493,6273 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 493,6273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,6273) = 17

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

GCF(493,6273) x common factors =17 x 1 = 17

LCM(493,6273) = ( 493 × 6273 ) / 17

LCM(493,6273) = 3092589 / 17

LCM(493,6273) = 181917


Lets's calculate GCF of 413,9602

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181917/1

Therefore the LCM of Fractions 493/413,6273/9602 is 181917

Greatest Common Factor of 413,9602 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,9602 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 9602

List of positive integer factors of 9602 that divides 9602 without a remainder.

1,2,4801,9602

Greatest Common Factor

We found the factors 413,9602 . The biggest common factor number is the GCF number.
So the greatest common factor 413,9602 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 493/413, 6273/9602

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 493/413, 6273/9602?

Answer: LCM of Numerators as per given numbers 493/413, 6273/9602 is

LCM of Numerators i.e. for 493,6273 is 181917

GCF of denominators i.e. for 413,9602 is 1.

Thus, LCM of Fractions is 181917.Finally, LCM of Fractions for 493/413, 6273/9602 is 181917.