Least Common Multiple of 93/513, 7983/1425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/513, 7983/1425 quickly i.e. 247473/57 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/513, 7983/1425 is 247473/57.

LCM(93/513, 7983/1425) = 247473/57

LCM of 93/513, 7983/1425

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 93/513,7983/1425

Given numbers are 93/513,7983/1425

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 93,7983

Least Common Multiple of Numerators i.e. LCM of 93,7983 is 247473.

GCF of Denominators means GCF of 513,1425 as per the given fractions.

GCF of 513,1425 is 57 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,7983

LCM of Fractions 93/513,7983/1425 is 247473/57

3 93, 7983
31, 2661

∴ So the LCM of the given numbers is 3 x 31 x 2661 = 247473

Least Common Multiple of 93,7983 with GCF Formula

Least Common Multiple of 93,7983 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 93,7983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,7983) = 3

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

GCF(93,7983) x common factors =3 x 1 = 3

LCM(93,7983) = ( 93 × 7983 ) / 3

LCM(93,7983) = 742419 / 3

LCM(93,7983) = 247473


Lets's calculate GCF of 513,1425

3 513, 1425
19 171, 475
9, 25

∴ So the GCF of the given numbers is 3 x 19 = 57

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 247473/57

Therefore the LCM of Fractions 93/513,7983/1425 is 247473/57

Greatest Common Factor of 513,1425 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,1425 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 1425

List of positive integer factors of 1425 that divides 1425 without a remainder.

1,3,5,15,19,25,57,75,95,285,475,1425

Greatest Common Factor

We found the factors 513,1425 . The biggest common factor number is the GCF number.
So the greatest common factor 513,1425 is 57.


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 93/513, 7983/1425

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 93/513, 7983/1425?

Answer: LCM of Numerators as per given numbers 93/513, 7983/1425 is

LCM of Numerators i.e. for 93,7983 is 247473

GCF of denominators i.e. for 513,1425 is 57.

Thus, LCM of Fractions is 247473/57.Finally, LCM of Fractions for 93/513, 7983/1425 is 247473/57.