Least Common Multiple of 5175/501, 8319/3712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5175/501, 8319/3712 quickly i.e. 14350275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5175/501, 8319/3712 is 14350275.

LCM(5175/501, 8319/3712) = 14350275

LCM of 5175/501, 8319/3712

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 5175/501,8319/3712

Given numbers are 5175/501,8319/3712

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 5175,8319

Least Common Multiple of Numerators i.e. LCM of 5175,8319 is 14350275.

GCF of Denominators means GCF of 501,3712 as per the given fractions.

GCF of 501,3712 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5175,8319

LCM of Fractions 5175/501,8319/3712 is 14350275

3 5175, 8319
1725, 2773

∴ So the LCM of the given numbers is 3 x 1725 x 2773 = 14350275

Least Common Multiple of 5175,8319 with GCF Formula

Least Common Multiple of 5175,8319 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 5175,8319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5175,8319) = 3

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

GCF(5175,8319) x common factors =3 x 1 = 3

LCM(5175,8319) = ( 5175 × 8319 ) / 3

LCM(5175,8319) = 43050825 / 3

LCM(5175,8319) = 14350275


Lets's calculate GCF of 501,3712

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14350275/1

Therefore the LCM of Fractions 5175/501,8319/3712 is 14350275

Greatest Common Factor of 501,3712 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,3712 By Matching Biggest Common Factor Method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 3712

List of positive integer factors of 3712 that divides 3712 without a remainder.

1,2,4,8,16,29,32,58,64,116,128,232,464,928,1856,3712

Greatest Common Factor

We found the factors 501,3712 . The biggest common factor number is the GCF number.
So the greatest common factor 501,3712 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 5175/501, 8319/3712

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 5175/501, 8319/3712?

Answer: LCM of Numerators as per given numbers 5175/501, 8319/3712 is

LCM of Numerators i.e. for 5175,8319 is 14350275

GCF of denominators i.e. for 501,3712 is 1.

Thus, LCM of Fractions is 14350275.Finally, LCM of Fractions for 5175/501, 8319/3712 is 14350275.