Least Common Multiple of 67/27, 50/89, 361/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/27, 50/89, 361/322 quickly i.e. 1209350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/27, 50/89, 361/322 is 1209350.

LCM(67/27, 50/89, 361/322) = 1209350

LCM of 67/27, 50/89, 361/322

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 67/27,50/89,361/322

Given numbers are 67/27,50/89,361/322

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 67,50,361

Least Common Multiple of Numerators i.e. LCM of 67,50,361 is 1209350.

GCF of Denominators means GCF of 27,89,322 as per the given fractions.

GCF of 27,89,322 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,50,361

LCM of Fractions 67/27,50/89,361/322 is 1209350

Given numbers has no common factors except 1. So, there LCM is their product i.e 1209350

Least Common Multiple of 67,50,361 with GCF Formula

Least Common Multiple of 67,50,361 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 67,50,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,50,361) = 1

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

GCF(67,50,361) x common factors =1 x 1 = 1

LCM(67,50,361) = ( 67 × 50 × 361 ) / 1

LCM(67,50,361) = 1209350 / 1

LCM(67,50,361) = 1209350


Lets's calculate GCF of 27,89,322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1209350/1

Therefore the LCM of Fractions 67/27,50/89,361/322 is 1209350

Greatest Common Factor of 27,89,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,89,322 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 27,89,322 . The biggest common factor number is the GCF number.
So the greatest common factor 27,89,322 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 67/27, 50/89, 361/322

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 67/27, 50/89, 361/322?

Answer: LCM of Numerators as per given numbers 67/27, 50/89, 361/322 is

LCM of Numerators i.e. for 67,50,361 is 1209350

GCF of denominators i.e. for 27,89,322 is 1.

Thus, LCM of Fractions is 1209350.Finally, LCM of Fractions for 67/27, 50/89, 361/322 is 1209350.