Least Common Multiple of 39/682, 6807/3503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/682, 6807/3503 quickly i.e. 88491/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/682, 6807/3503 is 88491/31.

LCM(39/682, 6807/3503) = 88491/31

LCM of 39/682, 6807/3503

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 39/682,6807/3503

Given numbers are 39/682,6807/3503

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 39,6807

Least Common Multiple of Numerators i.e. LCM of 39,6807 is 88491.

GCF of Denominators means GCF of 682,3503 as per the given fractions.

GCF of 682,3503 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,6807

LCM of Fractions 39/682,6807/3503 is 88491/31

3 39, 6807
13, 2269

∴ So the LCM of the given numbers is 3 x 13 x 2269 = 88491

Least Common Multiple of 39,6807 with GCF Formula

Least Common Multiple of 39,6807 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 39,6807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,6807) = 3

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

GCF(39,6807) x common factors =3 x 1 = 3

LCM(39,6807) = ( 39 × 6807 ) / 3

LCM(39,6807) = 265473 / 3

LCM(39,6807) = 88491


Lets's calculate GCF of 682,3503

31 682, 3503
22, 113

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88491/31

Therefore the LCM of Fractions 39/682,6807/3503 is 88491/31

Greatest Common Factor of 682,3503 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,3503 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 3503

List of positive integer factors of 3503 that divides 3503 without a remainder.

1,31,113,3503

Greatest Common Factor

We found the factors 682,3503 . The biggest common factor number is the GCF number.
So the greatest common factor 682,3503 is 31.


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 39/682, 6807/3503

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 39/682, 6807/3503?

Answer: LCM of Numerators as per given numbers 39/682, 6807/3503 is

LCM of Numerators i.e. for 39,6807 is 88491

GCF of denominators i.e. for 682,3503 is 31.

Thus, LCM of Fractions is 88491/31.Finally, LCM of Fractions for 39/682, 6807/3503 is 88491/31.