Least Common Multiple of 90/221, 65/885, 741/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/221, 65/885, 741/102 quickly i.e. 22230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/221, 65/885, 741/102 is 22230.

LCM(90/221, 65/885, 741/102) = 22230

LCM of 90/221, 65/885, 741/102

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 90/221,65/885,741/102

Given numbers are 90/221,65/885,741/102

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 90,65,741

Least Common Multiple of Numerators i.e. LCM of 90,65,741 is 22230.

GCF of Denominators means GCF of 221,885,102 as per the given fractions.

GCF of 221,885,102 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,65,741

LCM of Fractions 90/221,65/885,741/102 is 22230

3 90, 65, 741
5 30, 65, 247
13 6, 13, 247
6, 1, 19

∴ So the LCM of the given numbers is 3 x 5 x 13 x 6 x 1 x 19 = 22230

Least Common Multiple of 90,65,741 with GCF Formula

Least Common Multiple of 90,65,741 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 90,65,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,65,741) = 1

common factors(in case of two or more numbers have common factors) = 195

GCF(90,65,741) x common factors =1 x 195 = 195

LCM(90,65,741) = ( 90 × 65 × 741 ) / 195

LCM(90,65,741) = 4334850 / 195

LCM(90,65,741) = 22230


Lets's calculate GCF of 221,885,102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22230/1

Therefore the LCM of Fractions 90/221,65/885,741/102 is 22230

Greatest Common Factor of 221,885,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,885,102 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 221,885,102 . The biggest common factor number is the GCF number.
So the greatest common factor 221,885,102 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 90/221, 65/885, 741/102

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 90/221, 65/885, 741/102?

Answer: LCM of Numerators as per given numbers 90/221, 65/885, 741/102 is

LCM of Numerators i.e. for 90,65,741 is 22230

GCF of denominators i.e. for 221,885,102 is 1.

Thus, LCM of Fractions is 22230.Finally, LCM of Fractions for 90/221, 65/885, 741/102 is 22230.