Least Common Multiple of 90/81, 81/19, 69/77, 30/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/81, 81/19, 69/77, 30/250 quickly i.e. 18630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/81, 81/19, 69/77, 30/250 is 18630.

LCM(90/81, 81/19, 69/77, 30/250) = 18630

LCM of 90/81, 81/19, 69/77, 30/250

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 90/81,81/19,69/77,30/250

Given numbers are 90/81,81/19,69/77,30/250

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 90,81,69,30

Least Common Multiple of Numerators i.e. LCM of 90,81,69,30 is 18630.

GCF of Denominators means GCF of 81,19,77,250 as per the given fractions.

GCF of 81,19,77,250 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,81,69,30

LCM of Fractions 90/81,81/19,69/77,30/250 is 18630

2 90, 81, 69, 30
3 45, 81, 69, 15
3 5, 27, 23, 15
5 5, 9, 23, 5
1, 9, 23, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 9 x 23 x 1 = 18630

Least Common Multiple of 90,81,69,30 with GCF Formula

Least Common Multiple of 90,81,69,30 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 90,81,69,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,81,69,30) = 3

common factors(in case of two or more numbers have common factors) = 270

GCF(90,81,69,30) x common factors =3 x 270 = 810

LCM(90,81,69,30) = ( 90 × 81 × 69 × 30 ) / 810

LCM(90,81,69,30) = 15090300 / 810

LCM(90,81,69,30) = 18630


Lets's calculate GCF of 81,19,77,250

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18630/1

Therefore the LCM of Fractions 90/81,81/19,69/77,30/250 is 18630

Greatest Common Factor of 81,19,77,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,19,77,250 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 81,19,77,250 . The biggest common factor number is the GCF number.
So the greatest common factor 81,19,77,250 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 90/81, 81/19, 69/77, 30/250

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 90/81, 81/19, 69/77, 30/250?

Answer: LCM of Numerators as per given numbers 90/81, 81/19, 69/77, 30/250 is

LCM of Numerators i.e. for 90,81,69,30 is 18630

GCF of denominators i.e. for 81,19,77,250 is 1.

Thus, LCM of Fractions is 18630.Finally, LCM of Fractions for 90/81, 81/19, 69/77, 30/250 is 18630.