Least Common Multiple of 5006/17, 5963/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5006/17, 5963/513 quickly i.e. 29850778 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5006/17, 5963/513 is 29850778.

LCM(5006/17, 5963/513) = 29850778

LCM of 5006/17, 5963/513

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 5006/17,5963/513

Given numbers are 5006/17,5963/513

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 5006,5963

Least Common Multiple of Numerators i.e. LCM of 5006,5963 is 29850778.

GCF of Denominators means GCF of 17,513 as per the given fractions.

GCF of 17,513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5006,5963

LCM of Fractions 5006/17,5963/513 is 29850778

Given numbers has no common factors except 1. So, there LCM is their product i.e 29850778

Least Common Multiple of 5006,5963 with GCF Formula

Least Common Multiple of 5006,5963 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 5006,5963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5006,5963) = 1

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

GCF(5006,5963) x common factors =1 x 1 = 1

LCM(5006,5963) = ( 5006 × 5963 ) / 1

LCM(5006,5963) = 29850778 / 1

LCM(5006,5963) = 29850778


Lets's calculate GCF of 17,513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29850778/1

Therefore the LCM of Fractions 5006/17,5963/513 is 29850778

Greatest Common Factor of 17,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,513 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 513

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

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

Greatest Common Factor

We found the factors 17,513 . The biggest common factor number is the GCF number.
So the greatest common factor 17,513 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 5006/17, 5963/513

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 5006/17, 5963/513?

Answer: LCM of Numerators as per given numbers 5006/17, 5963/513 is

LCM of Numerators i.e. for 5006,5963 is 29850778

GCF of denominators i.e. for 17,513 is 1.

Thus, LCM of Fractions is 29850778.Finally, LCM of Fractions for 5006/17, 5963/513 is 29850778.