Least Common Multiple of 29/606, 3738/2142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/606, 3738/2142 quickly i.e. 18067 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/606, 3738/2142 is 18067.

LCM(29/606, 3738/2142) = 18067

LCM of 29/606, 3738/2142

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 29/606,3738/2142

Given numbers are 29/606,3738/2142

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 29,3738

Least Common Multiple of Numerators i.e. LCM of 29,3738 is 108402.

GCF of Denominators means GCF of 606,2142 as per the given fractions.

GCF of 606,2142 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,3738

LCM of Fractions 29/606,3738/2142 is 18067

Given numbers has no common factors except 1. So, there LCM is their product i.e 108402

Least Common Multiple of 29,3738 with GCF Formula

Least Common Multiple of 29,3738 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 29,3738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,3738) = 1

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

GCF(29,3738) x common factors =1 x 1 = 1

LCM(29,3738) = ( 29 × 3738 ) / 1

LCM(29,3738) = 108402 / 1

LCM(29,3738) = 108402


Lets's calculate GCF of 606,2142

2 606, 2142
3 303, 1071
101, 357

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108402/6

Therefore the LCM of Fractions 29/606,3738/2142 is 18067

Greatest Common Factor of 606,2142 By Matching Biggest Common Factor Method

Greatest Common Factor of 606,2142 By Matching Biggest Common Factor Method

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 2142

List of positive integer factors of 2142 that divides 2142 without a remainder.

1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142

Greatest Common Factor

We found the factors 606,2142 . The biggest common factor number is the GCF number.
So the greatest common factor 606,2142 is 6.


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 29/606, 3738/2142

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 29/606, 3738/2142?

Answer: LCM of Numerators as per given numbers 29/606, 3738/2142 is

LCM of Numerators i.e. for 29,3738 is 108402

GCF of denominators i.e. for 606,2142 is 6.

Thus, LCM of Fractions is 18067.Finally, LCM of Fractions for 29/606, 3738/2142 is 18067.