Least Common Multiple of 525/45, 513/7287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 525/45, 513/7287 quickly i.e. 29925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 525/45, 513/7287 is 29925.

LCM(525/45, 513/7287) = 29925

LCM of 525/45, 513/7287

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 525/45,513/7287

Given numbers are 525/45,513/7287

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 525,513

Least Common Multiple of Numerators i.e. LCM of 525,513 is 89775.

GCF of Denominators means GCF of 45,7287 as per the given fractions.

GCF of 45,7287 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 525,513

LCM of Fractions 525/45,513/7287 is 29925

3 525, 513
175, 171

∴ So the LCM of the given numbers is 3 x 175 x 171 = 89775

Least Common Multiple of 525,513 with GCF Formula

Least Common Multiple of 525,513 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 525,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,513) = 3

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

GCF(525,513) x common factors =3 x 1 = 3

LCM(525,513) = ( 525 × 513 ) / 3

LCM(525,513) = 269325 / 3

LCM(525,513) = 89775


Lets's calculate GCF of 45,7287

3 45, 7287
15, 2429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89775/3

Therefore the LCM of Fractions 525/45,513/7287 is 29925

Greatest Common Factor of 45,7287 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,7287 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 7287

List of positive integer factors of 7287 that divides 7287 without a remainder.

1,3,7,21,347,1041,2429,7287

Greatest Common Factor

We found the factors 45,7287 . The biggest common factor number is the GCF number.
So the greatest common factor 45,7287 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 525/45, 513/7287

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 525/45, 513/7287?

Answer: LCM of Numerators as per given numbers 525/45, 513/7287 is

LCM of Numerators i.e. for 525,513 is 89775

GCF of denominators i.e. for 45,7287 is 3.

Thus, LCM of Fractions is 29925.Finally, LCM of Fractions for 525/45, 513/7287 is 29925.