Least Common Multiple of 6799/697, 3500/6777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6799/697, 3500/6777 quickly i.e. 23796500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6799/697, 3500/6777 is 23796500.

LCM(6799/697, 3500/6777) = 23796500

LCM of 6799/697, 3500/6777

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 6799/697,3500/6777

Given numbers are 6799/697,3500/6777

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 6799,3500

Least Common Multiple of Numerators i.e. LCM of 6799,3500 is 23796500.

GCF of Denominators means GCF of 697,6777 as per the given fractions.

GCF of 697,6777 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6799,3500

LCM of Fractions 6799/697,3500/6777 is 23796500

Given numbers has no common factors except 1. So, there LCM is their product i.e 23796500

Least Common Multiple of 6799,3500 with GCF Formula

Least Common Multiple of 6799,3500 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 6799,3500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6799,3500) = 1

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

GCF(6799,3500) x common factors =1 x 1 = 1

LCM(6799,3500) = ( 6799 × 3500 ) / 1

LCM(6799,3500) = 23796500 / 1

LCM(6799,3500) = 23796500


Lets's calculate GCF of 697,6777

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23796500/1

Therefore the LCM of Fractions 6799/697,3500/6777 is 23796500

Greatest Common Factor of 697,6777 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,6777 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 6777

List of positive integer factors of 6777 that divides 6777 without a remainder.

1,3,9,27,251,753,2259,6777

Greatest Common Factor

We found the factors 697,6777 . The biggest common factor number is the GCF number.
So the greatest common factor 697,6777 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 6799/697, 3500/6777

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 6799/697, 3500/6777?

Answer: LCM of Numerators as per given numbers 6799/697, 3500/6777 is

LCM of Numerators i.e. for 6799,3500 is 23796500

GCF of denominators i.e. for 697,6777 is 1.

Thus, LCM of Fractions is 23796500.Finally, LCM of Fractions for 6799/697, 3500/6777 is 23796500.