Least Common Multiple of 223/33, 136/6517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 223/33, 136/6517 quickly i.e. 30328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 223/33, 136/6517 is 30328.

LCM(223/33, 136/6517) = 30328

LCM of 223/33, 136/6517

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 223/33,136/6517

Given numbers are 223/33,136/6517

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 223,136

Least Common Multiple of Numerators i.e. LCM of 223,136 is 30328.

GCF of Denominators means GCF of 33,6517 as per the given fractions.

GCF of 33,6517 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 223,136

LCM of Fractions 223/33,136/6517 is 30328

Given numbers has no common factors except 1. So, there LCM is their product i.e 30328

Least Common Multiple of 223,136 with GCF Formula

Least Common Multiple of 223,136 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 223,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,136) = 1

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

GCF(223,136) x common factors =1 x 1 = 1

LCM(223,136) = ( 223 × 136 ) / 1

LCM(223,136) = 30328 / 1

LCM(223,136) = 30328


Lets's calculate GCF of 33,6517

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30328/1

Therefore the LCM of Fractions 223/33,136/6517 is 30328

Greatest Common Factor of 33,6517 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,6517 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 6517

List of positive integer factors of 6517 that divides 6517 without a remainder.

1,7,19,49,133,343,931,6517

Greatest Common Factor

We found the factors 33,6517 . The biggest common factor number is the GCF number.
So the greatest common factor 33,6517 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 223/33, 136/6517

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 223/33, 136/6517?

Answer: LCM of Numerators as per given numbers 223/33, 136/6517 is

LCM of Numerators i.e. for 223,136 is 30328

GCF of denominators i.e. for 33,6517 is 1.

Thus, LCM of Fractions is 30328.Finally, LCM of Fractions for 223/33, 136/6517 is 30328.