Least Common Multiple of 3508/679, 8418/3226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3508/679, 8418/3226 quickly i.e. 14765172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3508/679, 8418/3226 is 14765172.

LCM(3508/679, 8418/3226) = 14765172

LCM of 3508/679, 8418/3226

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 3508/679,8418/3226

Given numbers are 3508/679,8418/3226

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 3508,8418

Least Common Multiple of Numerators i.e. LCM of 3508,8418 is 14765172.

GCF of Denominators means GCF of 679,3226 as per the given fractions.

GCF of 679,3226 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3508,8418

LCM of Fractions 3508/679,8418/3226 is 14765172

2 3508, 8418
1754, 4209

∴ So the LCM of the given numbers is 2 x 1754 x 4209 = 14765172

Least Common Multiple of 3508,8418 with GCF Formula

Least Common Multiple of 3508,8418 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 3508,8418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3508,8418) = 2

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

GCF(3508,8418) x common factors =2 x 1 = 2

LCM(3508,8418) = ( 3508 × 8418 ) / 2

LCM(3508,8418) = 29530344 / 2

LCM(3508,8418) = 14765172


Lets's calculate GCF of 679,3226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14765172/1

Therefore the LCM of Fractions 3508/679,8418/3226 is 14765172

Greatest Common Factor of 679,3226 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,3226 By Matching Biggest Common Factor Method

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 3226

List of positive integer factors of 3226 that divides 3226 without a remainder.

1,2,1613,3226

Greatest Common Factor

We found the factors 679,3226 . The biggest common factor number is the GCF number.
So the greatest common factor 679,3226 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 3508/679, 8418/3226

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 3508/679, 8418/3226?

Answer: LCM of Numerators as per given numbers 3508/679, 8418/3226 is

LCM of Numerators i.e. for 3508,8418 is 14765172

GCF of denominators i.e. for 679,3226 is 1.

Thus, LCM of Fractions is 14765172.Finally, LCM of Fractions for 3508/679, 8418/3226 is 14765172.