Least Common Multiple of 517/693, 6607/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 517/693, 6607/693 quickly i.e. 3415819/693 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 517/693, 6607/693 is 3415819/693.

LCM(517/693, 6607/693) = 3415819/693

LCM of 517/693, 6607/693

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 517/693,6607/693

Given numbers are 517/693,6607/693

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 517,6607

Least Common Multiple of Numerators i.e. LCM of 517,6607 is 3415819.

GCF of Denominators means GCF of 693,693 as per the given fractions.

GCF of 693,693 is 693 as it is the largest common factor for these numbers.

Lets's calculate LCM of 517,6607

LCM of Fractions 517/693,6607/693 is 3415819/693

Given numbers has no common factors except 1. So, there LCM is their product i.e 3415819

Least Common Multiple of 517,6607 with GCF Formula

Least Common Multiple of 517,6607 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 517,6607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,6607) = 1

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

GCF(517,6607) x common factors =1 x 1 = 1

LCM(517,6607) = ( 517 × 6607 ) / 1

LCM(517,6607) = 3415819 / 1

LCM(517,6607) = 3415819


Lets's calculate GCF of 693,693

3 693, 693
3 231, 231
7 77, 77
11 11, 11
1, 1

∴ So the GCF of the given numbers is 3 x 3 x 7 x 11 = 693

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3415819/693

Therefore the LCM of Fractions 517/693,6607/693 is 3415819/693

Greatest Common Factor of 693,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,693 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 693,693 . The biggest common factor number is the GCF number.
So the greatest common factor 693,693 is 693.


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 517/693, 6607/693

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 517/693, 6607/693?

Answer: LCM of Numerators as per given numbers 517/693, 6607/693 is

LCM of Numerators i.e. for 517,6607 is 3415819

GCF of denominators i.e. for 693,693 is 693.

Thus, LCM of Fractions is 3415819/693.Finally, LCM of Fractions for 517/693, 6607/693 is 3415819/693.