Least Common Multiple of 164/26, 659/38, 727/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 164/26, 659/38, 727/428 quickly i.e. 39285626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 164/26, 659/38, 727/428 is 39285626.

LCM(164/26, 659/38, 727/428) = 39285626

LCM of 164/26, 659/38, 727/428

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 164/26,659/38,727/428

Given numbers are 164/26,659/38,727/428

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 164,659,727

Least Common Multiple of Numerators i.e. LCM of 164,659,727 is 78571252.

GCF of Denominators means GCF of 26,38,428 as per the given fractions.

GCF of 26,38,428 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 164,659,727

LCM of Fractions 164/26,659/38,727/428 is 39285626

Given numbers has no common factors except 1. So, there LCM is their product i.e 78571252

Least Common Multiple of 164,659,727 with GCF Formula

Least Common Multiple of 164,659,727 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 164,659,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,659,727) = 1

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

GCF(164,659,727) x common factors =1 x 1 = 1

LCM(164,659,727) = ( 164 × 659 × 727 ) / 1

LCM(164,659,727) = 78571252 / 1

LCM(164,659,727) = 78571252


Lets's calculate GCF of 26,38,428

2 26, 38, 428
13, 19, 214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78571252/2

Therefore the LCM of Fractions 164/26,659/38,727/428 is 39285626

Greatest Common Factor of 26,38,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,38,428 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 26,38,428 . The biggest common factor number is the GCF number.
So the greatest common factor 26,38,428 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 164/26, 659/38, 727/428

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 164/26, 659/38, 727/428?

Answer: LCM of Numerators as per given numbers 164/26, 659/38, 727/428 is

LCM of Numerators i.e. for 164,659,727 is 78571252

GCF of denominators i.e. for 26,38,428 is 2.

Thus, LCM of Fractions is 39285626.Finally, LCM of Fractions for 164/26, 659/38, 727/428 is 39285626.