Least Common Multiple of 165/26, 571/3412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 165/26, 571/3412 quickly i.e. 94215/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 165/26, 571/3412 is 94215/2.

LCM(165/26, 571/3412) = 94215/2

LCM of 165/26, 571/3412

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 165/26,571/3412

Given numbers are 165/26,571/3412

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 165,571

Least Common Multiple of Numerators i.e. LCM of 165,571 is 94215.

GCF of Denominators means GCF of 26,3412 as per the given fractions.

GCF of 26,3412 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,571

LCM of Fractions 165/26,571/3412 is 94215/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 94215

Least Common Multiple of 165,571 with GCF Formula

Least Common Multiple of 165,571 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 165,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,571) = 1

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

GCF(165,571) x common factors =1 x 1 = 1

LCM(165,571) = ( 165 × 571 ) / 1

LCM(165,571) = 94215 / 1

LCM(165,571) = 94215


Lets's calculate GCF of 26,3412

2 26, 3412
13, 1706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94215/2

Therefore the LCM of Fractions 165/26,571/3412 is 94215/2

Greatest Common Factor of 26,3412 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,3412 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 3412

List of positive integer factors of 3412 that divides 3412 without a remainder.

1,2,4,853,1706,3412

Greatest Common Factor

We found the factors 26,3412 . The biggest common factor number is the GCF number.
So the greatest common factor 26,3412 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 165/26, 571/3412

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 165/26, 571/3412?

Answer: LCM of Numerators as per given numbers 165/26, 571/3412 is

LCM of Numerators i.e. for 165,571 is 94215

GCF of denominators i.e. for 26,3412 is 2.

Thus, LCM of Fractions is 94215/2.Finally, LCM of Fractions for 165/26, 571/3412 is 94215/2.