Least Common Multiple of 541/60, 737/6806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 541/60, 737/6806 quickly i.e. 398717/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 541/60, 737/6806 is 398717/2.

LCM(541/60, 737/6806) = 398717/2

LCM of 541/60, 737/6806

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 541/60,737/6806

Given numbers are 541/60,737/6806

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 541,737

Least Common Multiple of Numerators i.e. LCM of 541,737 is 398717.

GCF of Denominators means GCF of 60,6806 as per the given fractions.

GCF of 60,6806 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 541,737

LCM of Fractions 541/60,737/6806 is 398717/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 398717

Least Common Multiple of 541,737 with GCF Formula

Least Common Multiple of 541,737 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 541,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,737) = 1

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

GCF(541,737) x common factors =1 x 1 = 1

LCM(541,737) = ( 541 × 737 ) / 1

LCM(541,737) = 398717 / 1

LCM(541,737) = 398717


Lets's calculate GCF of 60,6806

2 60, 6806
30, 3403

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 398717/2

Therefore the LCM of Fractions 541/60,737/6806 is 398717/2

Greatest Common Factor of 60,6806 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,6806 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 6806

List of positive integer factors of 6806 that divides 6806 without a remainder.

1,2,41,82,83,166,3403,6806

Greatest Common Factor

We found the factors 60,6806 . The biggest common factor number is the GCF number.
So the greatest common factor 60,6806 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 541/60, 737/6806

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 541/60, 737/6806?

Answer: LCM of Numerators as per given numbers 541/60, 737/6806 is

LCM of Numerators i.e. for 541,737 is 398717

GCF of denominators i.e. for 60,6806 is 2.

Thus, LCM of Fractions is 398717/2.Finally, LCM of Fractions for 541/60, 737/6806 is 398717/2.