Least Common Multiple of 164/29, 405/6537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 164/29, 405/6537 quickly i.e. 66420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 164/29, 405/6537 is 66420.

LCM(164/29, 405/6537) = 66420

LCM of 164/29, 405/6537

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 164/29,405/6537

Given numbers are 164/29,405/6537

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 164,405

Least Common Multiple of Numerators i.e. LCM of 164,405 is 66420.

GCF of Denominators means GCF of 29,6537 as per the given fractions.

GCF of 29,6537 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 164,405

LCM of Fractions 164/29,405/6537 is 66420

Given numbers has no common factors except 1. So, there LCM is their product i.e 66420

Least Common Multiple of 164,405 with GCF Formula

Least Common Multiple of 164,405 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 164,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,405) = 1

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

GCF(164,405) x common factors =1 x 1 = 1

LCM(164,405) = ( 164 × 405 ) / 1

LCM(164,405) = 66420 / 1

LCM(164,405) = 66420


Lets's calculate GCF of 29,6537

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66420/1

Therefore the LCM of Fractions 164/29,405/6537 is 66420

Greatest Common Factor of 29,6537 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,6537 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 6537

List of positive integer factors of 6537 that divides 6537 without a remainder.

1,3,2179,6537

Greatest Common Factor

We found the factors 29,6537 . The biggest common factor number is the GCF number.
So the greatest common factor 29,6537 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 164/29, 405/6537

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 164/29, 405/6537?

Answer: LCM of Numerators as per given numbers 164/29, 405/6537 is

LCM of Numerators i.e. for 164,405 is 66420

GCF of denominators i.e. for 29,6537 is 1.

Thus, LCM of Fractions is 66420.Finally, LCM of Fractions for 164/29, 405/6537 is 66420.