Least Common Multiple of 219/901, 665/836, 222/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 219/901, 665/836, 222/960 quickly i.e. 10776990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 219/901, 665/836, 222/960 is 10776990.

LCM(219/901, 665/836, 222/960) = 10776990

LCM of 219/901, 665/836, 222/960

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 219/901,665/836,222/960

Given numbers are 219/901,665/836,222/960

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 219,665,222

Least Common Multiple of Numerators i.e. LCM of 219,665,222 is 10776990.

GCF of Denominators means GCF of 901,836,960 as per the given fractions.

GCF of 901,836,960 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 219,665,222

LCM of Fractions 219/901,665/836,222/960 is 10776990

3 219, 665, 222
73, 665, 74

∴ So the LCM of the given numbers is 3 x 73 x 665 x 74 = 10776990

Least Common Multiple of 219,665,222 with GCF Formula

Least Common Multiple of 219,665,222 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 219,665,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,665,222) = 1

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

GCF(219,665,222) x common factors =1 x 3 = 3

LCM(219,665,222) = ( 219 × 665 × 222 ) / 3

LCM(219,665,222) = 32330970 / 3

LCM(219,665,222) = 10776990


Lets's calculate GCF of 901,836,960

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10776990/1

Therefore the LCM of Fractions 219/901,665/836,222/960 is 10776990

Greatest Common Factor of 901,836,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,836,960 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 901,836,960 . The biggest common factor number is the GCF number.
So the greatest common factor 901,836,960 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 219/901, 665/836, 222/960

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 219/901, 665/836, 222/960?

Answer: LCM of Numerators as per given numbers 219/901, 665/836, 222/960 is

LCM of Numerators i.e. for 219,665,222 is 10776990

GCF of denominators i.e. for 901,836,960 is 1.

Thus, LCM of Fractions is 10776990.Finally, LCM of Fractions for 219/901, 665/836, 222/960 is 10776990.