Least Common Multiple of 3401/706, 4142/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3401/706, 4142/344 quickly i.e. 370709 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3401/706, 4142/344 is 370709.

LCM(3401/706, 4142/344) = 370709

LCM of 3401/706, 4142/344

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 3401/706,4142/344

Given numbers are 3401/706,4142/344

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 3401,4142

Least Common Multiple of Numerators i.e. LCM of 3401,4142 is 741418.

GCF of Denominators means GCF of 706,344 as per the given fractions.

GCF of 706,344 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3401,4142

LCM of Fractions 3401/706,4142/344 is 370709

19 3401, 4142
179, 218

∴ So the LCM of the given numbers is 19 x 179 x 218 = 741418

Least Common Multiple of 3401,4142 with GCF Formula

Least Common Multiple of 3401,4142 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 3401,4142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3401,4142) = 19

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

GCF(3401,4142) x common factors =19 x 1 = 19

LCM(3401,4142) = ( 3401 × 4142 ) / 19

LCM(3401,4142) = 14086942 / 19

LCM(3401,4142) = 741418


Lets's calculate GCF of 706,344

2 706, 344
353, 172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 741418/2

Therefore the LCM of Fractions 3401/706,4142/344 is 370709

Greatest Common Factor of 706,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,344 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 706,344 . The biggest common factor number is the GCF number.
So the greatest common factor 706,344 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 3401/706, 4142/344

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 3401/706, 4142/344?

Answer: LCM of Numerators as per given numbers 3401/706, 4142/344 is

LCM of Numerators i.e. for 3401,4142 is 741418

GCF of denominators i.e. for 706,344 is 2.

Thus, LCM of Fractions is 370709.Finally, LCM of Fractions for 3401/706, 4142/344 is 370709.