Least Common Multiple of 3423/663, 1706/6617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3423/663, 1706/6617 quickly i.e. 5839638/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3423/663, 1706/6617 is 5839638/13.

LCM(3423/663, 1706/6617) = 5839638/13

LCM of 3423/663, 1706/6617

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 3423/663,1706/6617

Given numbers are 3423/663,1706/6617

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 3423,1706

Least Common Multiple of Numerators i.e. LCM of 3423,1706 is 5839638.

GCF of Denominators means GCF of 663,6617 as per the given fractions.

GCF of 663,6617 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3423,1706

LCM of Fractions 3423/663,1706/6617 is 5839638/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 5839638

Least Common Multiple of 3423,1706 with GCF Formula

Least Common Multiple of 3423,1706 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 3423,1706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3423,1706) = 1

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

GCF(3423,1706) x common factors =1 x 1 = 1

LCM(3423,1706) = ( 3423 × 1706 ) / 1

LCM(3423,1706) = 5839638 / 1

LCM(3423,1706) = 5839638


Lets's calculate GCF of 663,6617

13 663, 6617
51, 509

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5839638/13

Therefore the LCM of Fractions 3423/663,1706/6617 is 5839638/13

Greatest Common Factor of 663,6617 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,6617 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 6617

List of positive integer factors of 6617 that divides 6617 without a remainder.

1,13,509,6617

Greatest Common Factor

We found the factors 663,6617 . The biggest common factor number is the GCF number.
So the greatest common factor 663,6617 is 13.


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 3423/663, 1706/6617

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 3423/663, 1706/6617?

Answer: LCM of Numerators as per given numbers 3423/663, 1706/6617 is

LCM of Numerators i.e. for 3423,1706 is 5839638

GCF of denominators i.e. for 663,6617 is 13.

Thus, LCM of Fractions is 5839638/13.Finally, LCM of Fractions for 3423/663, 1706/6617 is 5839638/13.