Least Common Multiple of 503/513, 1890/6507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 503/513, 1890/6507 quickly i.e. 35210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 503/513, 1890/6507 is 35210.

LCM(503/513, 1890/6507) = 35210

LCM of 503/513, 1890/6507

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 503/513,1890/6507

Given numbers are 503/513,1890/6507

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 503,1890

Least Common Multiple of Numerators i.e. LCM of 503,1890 is 950670.

GCF of Denominators means GCF of 513,6507 as per the given fractions.

GCF of 513,6507 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 503,1890

LCM of Fractions 503/513,1890/6507 is 35210

Given numbers has no common factors except 1. So, there LCM is their product i.e 950670

Least Common Multiple of 503,1890 with GCF Formula

Least Common Multiple of 503,1890 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 503,1890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(503,1890) = 1

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

GCF(503,1890) x common factors =1 x 1 = 1

LCM(503,1890) = ( 503 × 1890 ) / 1

LCM(503,1890) = 950670 / 1

LCM(503,1890) = 950670


Lets's calculate GCF of 513,6507

3 513, 6507
3 171, 2169
3 57, 723
19, 241

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 950670/27

Therefore the LCM of Fractions 503/513,1890/6507 is 35210

Greatest Common Factor of 513,6507 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,6507 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 6507

List of positive integer factors of 6507 that divides 6507 without a remainder.

1,3,9,27,241,723,2169,6507

Greatest Common Factor

We found the factors 513,6507 . The biggest common factor number is the GCF number.
So the greatest common factor 513,6507 is 27.


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 503/513, 1890/6507

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 503/513, 1890/6507?

Answer: LCM of Numerators as per given numbers 503/513, 1890/6507 is

LCM of Numerators i.e. for 503,1890 is 950670

GCF of denominators i.e. for 513,6507 is 27.

Thus, LCM of Fractions is 35210.Finally, LCM of Fractions for 503/513, 1890/6507 is 35210.