Least Common Multiple of 67/401, 17/243, 909/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/401, 17/243, 909/542 quickly i.e. 1035351 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/401, 17/243, 909/542 is 1035351.

LCM(67/401, 17/243, 909/542) = 1035351

LCM of 67/401, 17/243, 909/542

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 67/401,17/243,909/542

Given numbers are 67/401,17/243,909/542

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 67,17,909

Least Common Multiple of Numerators i.e. LCM of 67,17,909 is 1035351.

GCF of Denominators means GCF of 401,243,542 as per the given fractions.

GCF of 401,243,542 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,17,909

LCM of Fractions 67/401,17/243,909/542 is 1035351

Given numbers has no common factors except 1. So, there LCM is their product i.e 1035351

Least Common Multiple of 67,17,909 with GCF Formula

Least Common Multiple of 67,17,909 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 67,17,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,17,909) = 1

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

GCF(67,17,909) x common factors =1 x 1 = 1

LCM(67,17,909) = ( 67 × 17 × 909 ) / 1

LCM(67,17,909) = 1035351 / 1

LCM(67,17,909) = 1035351


Lets's calculate GCF of 401,243,542

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1035351/1

Therefore the LCM of Fractions 67/401,17/243,909/542 is 1035351

Greatest Common Factor of 401,243,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 401,243,542 By Matching Biggest Common Factor Method

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 401,243,542 . The biggest common factor number is the GCF number.
So the greatest common factor 401,243,542 is 1.


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 67/401, 17/243, 909/542

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 67/401, 17/243, 909/542?

Answer: LCM of Numerators as per given numbers 67/401, 17/243, 909/542 is

LCM of Numerators i.e. for 67,17,909 is 1035351

GCF of denominators i.e. for 401,243,542 is 1.

Thus, LCM of Fractions is 1035351.Finally, LCM of Fractions for 67/401, 17/243, 909/542 is 1035351.