Least Common Multiple of 91/222, 192/160, 217/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/222, 192/160, 217/666 quickly i.e. 270816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/222, 192/160, 217/666 is 270816.

LCM(91/222, 192/160, 217/666) = 270816

LCM of 91/222, 192/160, 217/666

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 91/222,192/160,217/666

Given numbers are 91/222,192/160,217/666

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 91,192,217

Least Common Multiple of Numerators i.e. LCM of 91,192,217 is 541632.

GCF of Denominators means GCF of 222,160,666 as per the given fractions.

GCF of 222,160,666 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,192,217

LCM of Fractions 91/222,192/160,217/666 is 270816

7 91, 192, 217
13, 192, 31

∴ So the LCM of the given numbers is 7 x 13 x 192 x 31 = 541632

Least Common Multiple of 91,192,217 with GCF Formula

Least Common Multiple of 91,192,217 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 91,192,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,192,217) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(91,192,217) x common factors =1 x 7 = 7

LCM(91,192,217) = ( 91 × 192 × 217 ) / 7

LCM(91,192,217) = 3791424 / 7

LCM(91,192,217) = 541632


Lets's calculate GCF of 222,160,666

2 222, 160, 666
111, 80, 333

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 541632/2

Therefore the LCM of Fractions 91/222,192/160,217/666 is 270816

Greatest Common Factor of 222,160,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,160,666 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 222,160,666 . The biggest common factor number is the GCF number.
So the greatest common factor 222,160,666 is 2.


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 91/222, 192/160, 217/666

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 91/222, 192/160, 217/666?

Answer: LCM of Numerators as per given numbers 91/222, 192/160, 217/666 is

LCM of Numerators i.e. for 91,192,217 is 541632

GCF of denominators i.e. for 222,160,666 is 2.

Thus, LCM of Fractions is 270816.Finally, LCM of Fractions for 91/222, 192/160, 217/666 is 270816.