Least Common Multiple of 33/66, 69/225, 221/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/66, 69/225, 221/562 quickly i.e. 167739 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/66, 69/225, 221/562 is 167739.

LCM(33/66, 69/225, 221/562) = 167739

LCM of 33/66, 69/225, 221/562

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 33/66,69/225,221/562

Given numbers are 33/66,69/225,221/562

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 33,69,221

Least Common Multiple of Numerators i.e. LCM of 33,69,221 is 167739.

GCF of Denominators means GCF of 66,225,562 as per the given fractions.

GCF of 66,225,562 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,69,221

LCM of Fractions 33/66,69/225,221/562 is 167739

3 33, 69, 221
11, 23, 221

∴ So the LCM of the given numbers is 3 x 11 x 23 x 221 = 167739

Least Common Multiple of 33,69,221 with GCF Formula

Least Common Multiple of 33,69,221 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 33,69,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,69,221) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(33,69,221) x common factors =1 x 3 = 3

LCM(33,69,221) = ( 33 × 69 × 221 ) / 3

LCM(33,69,221) = 503217 / 3

LCM(33,69,221) = 167739


Lets's calculate GCF of 66,225,562

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167739/1

Therefore the LCM of Fractions 33/66,69/225,221/562 is 167739

Greatest Common Factor of 66,225,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,225,562 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 66,225,562 . The biggest common factor number is the GCF number.
So the greatest common factor 66,225,562 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 33/66, 69/225, 221/562

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 33/66, 69/225, 221/562?

Answer: LCM of Numerators as per given numbers 33/66, 69/225, 221/562 is

LCM of Numerators i.e. for 33,69,221 is 167739

GCF of denominators i.e. for 66,225,562 is 1.

Thus, LCM of Fractions is 167739.Finally, LCM of Fractions for 33/66, 69/225, 221/562 is 167739.