Least Common Multiple of 84/33, 69/63, 221/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/33, 69/63, 221/210 quickly i.e. 142324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/33, 69/63, 221/210 is 142324.

LCM(84/33, 69/63, 221/210) = 142324

LCM of 84/33, 69/63, 221/210

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 84/33,69/63,221/210

Given numbers are 84/33,69/63,221/210

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 84,69,221

Least Common Multiple of Numerators i.e. LCM of 84,69,221 is 426972.

GCF of Denominators means GCF of 33,63,210 as per the given fractions.

GCF of 33,63,210 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,69,221

LCM of Fractions 84/33,69/63,221/210 is 142324

3 84, 69, 221
28, 23, 221

∴ So the LCM of the given numbers is 3 x 28 x 23 x 221 = 426972

Least Common Multiple of 84,69,221 with GCF Formula

Least Common Multiple of 84,69,221 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 84,69,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,69,221) = 1

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

GCF(84,69,221) x common factors =1 x 3 = 3

LCM(84,69,221) = ( 84 × 69 × 221 ) / 3

LCM(84,69,221) = 1280916 / 3

LCM(84,69,221) = 426972


Lets's calculate GCF of 33,63,210

3 33, 63, 210
11, 21, 70

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 426972/3

Therefore the LCM of Fractions 84/33,69/63,221/210 is 142324

Greatest Common Factor of 33,63,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,63,210 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 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 33,63,210 . The biggest common factor number is the GCF number.
So the greatest common factor 33,63,210 is 3.


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 84/33, 69/63, 221/210

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 84/33, 69/63, 221/210?

Answer: LCM of Numerators as per given numbers 84/33, 69/63, 221/210 is

LCM of Numerators i.e. for 84,69,221 is 426972

GCF of denominators i.e. for 33,63,210 is 3.

Thus, LCM of Fractions is 142324.Finally, LCM of Fractions for 84/33, 69/63, 221/210 is 142324.