Least Common Multiple of 69/41, 35/81, 547/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/41, 35/81, 547/242 quickly i.e. 1321005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/41, 35/81, 547/242 is 1321005.

LCM(69/41, 35/81, 547/242) = 1321005

LCM of 69/41, 35/81, 547/242

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 69/41,35/81,547/242

Given numbers are 69/41,35/81,547/242

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 69,35,547

Least Common Multiple of Numerators i.e. LCM of 69,35,547 is 1321005.

GCF of Denominators means GCF of 41,81,242 as per the given fractions.

GCF of 41,81,242 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,35,547

LCM of Fractions 69/41,35/81,547/242 is 1321005

Given numbers has no common factors except 1. So, there LCM is their product i.e 1321005

Least Common Multiple of 69,35,547 with GCF Formula

Least Common Multiple of 69,35,547 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 69,35,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,35,547) = 1

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

GCF(69,35,547) x common factors =1 x 1 = 1

LCM(69,35,547) = ( 69 × 35 × 547 ) / 1

LCM(69,35,547) = 1321005 / 1

LCM(69,35,547) = 1321005


Lets's calculate GCF of 41,81,242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1321005/1

Therefore the LCM of Fractions 69/41,35/81,547/242 is 1321005

Greatest Common Factor of 41,81,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,81,242 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 41,81,242 . The biggest common factor number is the GCF number.
So the greatest common factor 41,81,242 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/41, 35/81, 547/242

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 69/41, 35/81, 547/242?

Answer: LCM of Numerators as per given numbers 69/41, 35/81, 547/242 is

LCM of Numerators i.e. for 69,35,547 is 1321005

GCF of denominators i.e. for 41,81,242 is 1.

Thus, LCM of Fractions is 1321005.Finally, LCM of Fractions for 69/41, 35/81, 547/242 is 1321005.