Least Common Multiple of 89/222, 169/214, 241/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/222, 169/214, 241/260 quickly i.e. 3624881/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/222, 169/214, 241/260 is 3624881/2.

LCM(89/222, 169/214, 241/260) = 3624881/2

LCM of 89/222, 169/214, 241/260

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 89/222,169/214,241/260

Given numbers are 89/222,169/214,241/260

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 89,169,241

Least Common Multiple of Numerators i.e. LCM of 89,169,241 is 3624881.

GCF of Denominators means GCF of 222,214,260 as per the given fractions.

GCF of 222,214,260 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,169,241

LCM of Fractions 89/222,169/214,241/260 is 3624881/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 3624881

Least Common Multiple of 89,169,241 with GCF Formula

Least Common Multiple of 89,169,241 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 89,169,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,169,241) = 1

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

GCF(89,169,241) x common factors =1 x 1 = 1

LCM(89,169,241) = ( 89 × 169 × 241 ) / 1

LCM(89,169,241) = 3624881 / 1

LCM(89,169,241) = 3624881


Lets's calculate GCF of 222,214,260

2 222, 214, 260
111, 107, 130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3624881/2

Therefore the LCM of Fractions 89/222,169/214,241/260 is 3624881/2

Greatest Common Factor of 222,214,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,214,260 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 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 222,214,260 . The biggest common factor number is the GCF number.
So the greatest common factor 222,214,260 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 89/222, 169/214, 241/260

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 89/222, 169/214, 241/260?

Answer: LCM of Numerators as per given numbers 89/222, 169/214, 241/260 is

LCM of Numerators i.e. for 89,169,241 is 3624881

GCF of denominators i.e. for 222,214,260 is 2.

Thus, LCM of Fractions is 3624881/2.Finally, LCM of Fractions for 89/222, 169/214, 241/260 is 3624881/2.