Least Common Multiple of 3342/172, 8327/6707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3342/172, 8327/6707 quickly i.e. 27828834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3342/172, 8327/6707 is 27828834.

LCM(3342/172, 8327/6707) = 27828834

LCM of 3342/172, 8327/6707

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 3342/172,8327/6707

Given numbers are 3342/172,8327/6707

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 3342,8327

Least Common Multiple of Numerators i.e. LCM of 3342,8327 is 27828834.

GCF of Denominators means GCF of 172,6707 as per the given fractions.

GCF of 172,6707 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3342,8327

LCM of Fractions 3342/172,8327/6707 is 27828834

Given numbers has no common factors except 1. So, there LCM is their product i.e 27828834

Least Common Multiple of 3342,8327 with GCF Formula

Least Common Multiple of 3342,8327 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 3342,8327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3342,8327) = 1

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

GCF(3342,8327) x common factors =1 x 1 = 1

LCM(3342,8327) = ( 3342 × 8327 ) / 1

LCM(3342,8327) = 27828834 / 1

LCM(3342,8327) = 27828834


Lets's calculate GCF of 172,6707

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27828834/1

Therefore the LCM of Fractions 3342/172,8327/6707 is 27828834

Greatest Common Factor of 172,6707 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,6707 By Matching Biggest Common Factor Method

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 6707

List of positive integer factors of 6707 that divides 6707 without a remainder.

1,19,353,6707

Greatest Common Factor

We found the factors 172,6707 . The biggest common factor number is the GCF number.
So the greatest common factor 172,6707 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 3342/172, 8327/6707

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 3342/172, 8327/6707?

Answer: LCM of Numerators as per given numbers 3342/172, 8327/6707 is

LCM of Numerators i.e. for 3342,8327 is 27828834

GCF of denominators i.e. for 172,6707 is 1.

Thus, LCM of Fractions is 27828834.Finally, LCM of Fractions for 3342/172, 8327/6707 is 27828834.