Least Common Multiple of 402/408, 1686/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 402/408, 1686/644 quickly i.e. 112962/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 402/408, 1686/644 is 112962/4.

LCM(402/408, 1686/644) = 112962/4

LCM of 402/408, 1686/644

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 402/408,1686/644

Given numbers are 402/408,1686/644

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 402,1686

Least Common Multiple of Numerators i.e. LCM of 402,1686 is 112962.

GCF of Denominators means GCF of 408,644 as per the given fractions.

GCF of 408,644 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 402,1686

LCM of Fractions 402/408,1686/644 is 112962/4

2 402, 1686
3 201, 843
67, 281

∴ So the LCM of the given numbers is 2 x 3 x 67 x 281 = 112962

Least Common Multiple of 402,1686 with GCF Formula

Least Common Multiple of 402,1686 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 402,1686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,1686) = 6

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

GCF(402,1686) x common factors =6 x 1 = 6

LCM(402,1686) = ( 402 × 1686 ) / 6

LCM(402,1686) = 677772 / 6

LCM(402,1686) = 112962


Lets's calculate GCF of 408,644

2 408, 644
2 204, 322
102, 161

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112962/4

Therefore the LCM of Fractions 402/408,1686/644 is 112962/4

Greatest Common Factor of 408,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,644 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 408,644 . The biggest common factor number is the GCF number.
So the greatest common factor 408,644 is 4.


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 402/408, 1686/644

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 402/408, 1686/644?

Answer: LCM of Numerators as per given numbers 402/408, 1686/644 is

LCM of Numerators i.e. for 402,1686 is 112962

GCF of denominators i.e. for 408,644 is 4.

Thus, LCM of Fractions is 112962/4.Finally, LCM of Fractions for 402/408, 1686/644 is 112962/4.