Least Common Multiple of 134/20, 606/6176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 134/20, 606/6176 quickly i.e. 40602/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 134/20, 606/6176 is 40602/4.

LCM(134/20, 606/6176) = 40602/4

LCM of 134/20, 606/6176

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 134/20,606/6176

Given numbers are 134/20,606/6176

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 134,606

Least Common Multiple of Numerators i.e. LCM of 134,606 is 40602.

GCF of Denominators means GCF of 20,6176 as per the given fractions.

GCF of 20,6176 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 134,606

LCM of Fractions 134/20,606/6176 is 40602/4

2 134, 606
67, 303

∴ So the LCM of the given numbers is 2 x 67 x 303 = 40602

Least Common Multiple of 134,606 with GCF Formula

Least Common Multiple of 134,606 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 134,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,606) = 2

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

GCF(134,606) x common factors =2 x 1 = 2

LCM(134,606) = ( 134 × 606 ) / 2

LCM(134,606) = 81204 / 2

LCM(134,606) = 40602


Lets's calculate GCF of 20,6176

2 20, 6176
2 10, 3088
5, 1544

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40602/4

Therefore the LCM of Fractions 134/20,606/6176 is 40602/4

Greatest Common Factor of 20,6176 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,6176 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 6176

List of positive integer factors of 6176 that divides 6176 without a remainder.

1,2,4,8,16,32,193,386,772,1544,3088,6176

Greatest Common Factor

We found the factors 20,6176 . The biggest common factor number is the GCF number.
So the greatest common factor 20,6176 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 134/20, 606/6176

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 134/20, 606/6176?

Answer: LCM of Numerators as per given numbers 134/20, 606/6176 is

LCM of Numerators i.e. for 134,606 is 40602

GCF of denominators i.e. for 20,6176 is 4.

Thus, LCM of Fractions is 40602/4.Finally, LCM of Fractions for 134/20, 606/6176 is 40602/4.