Least Common Multiple of 46/608, 3396/6426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/608, 3396/6426 quickly i.e. 39054 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/608, 3396/6426 is 39054.

LCM(46/608, 3396/6426) = 39054

LCM of 46/608, 3396/6426

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 46/608,3396/6426

Given numbers are 46/608,3396/6426

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 46,3396

Least Common Multiple of Numerators i.e. LCM of 46,3396 is 78108.

GCF of Denominators means GCF of 608,6426 as per the given fractions.

GCF of 608,6426 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,3396

LCM of Fractions 46/608,3396/6426 is 39054

2 46, 3396
23, 1698

∴ So the LCM of the given numbers is 2 x 23 x 1698 = 78108

Least Common Multiple of 46,3396 with GCF Formula

Least Common Multiple of 46,3396 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 46,3396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,3396) = 2

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

GCF(46,3396) x common factors =2 x 1 = 2

LCM(46,3396) = ( 46 × 3396 ) / 2

LCM(46,3396) = 156216 / 2

LCM(46,3396) = 78108


Lets's calculate GCF of 608,6426

2 608, 6426
304, 3213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78108/2

Therefore the LCM of Fractions 46/608,3396/6426 is 39054

Greatest Common Factor of 608,6426 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,6426 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 6426

List of positive integer factors of 6426 that divides 6426 without a remainder.

1,2,3,6,7,9,14,17,18,21,27,34,42,51,54,63,102,119,126,153,189,238,306,357,378,459,714,918,1071,2142,3213,6426

Greatest Common Factor

We found the factors 608,6426 . The biggest common factor number is the GCF number.
So the greatest common factor 608,6426 is 2.


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 46/608, 3396/6426

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 46/608, 3396/6426?

Answer: LCM of Numerators as per given numbers 46/608, 3396/6426 is

LCM of Numerators i.e. for 46,3396 is 78108

GCF of denominators i.e. for 608,6426 is 2.

Thus, LCM of Fractions is 39054.Finally, LCM of Fractions for 46/608, 3396/6426 is 39054.