Least Common Multiple of 89/90, 70/81, 38/17, 14/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/90, 70/81, 38/17, 14/401 quickly i.e. 118370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/90, 70/81, 38/17, 14/401 is 118370.

LCM(89/90, 70/81, 38/17, 14/401) = 118370

LCM of 89/90, 70/81, 38/17, 14/401

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 89/90,70/81,38/17,14/401

Given numbers are 89/90,70/81,38/17,14/401

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 89,70,38,14

Least Common Multiple of Numerators i.e. LCM of 89,70,38,14 is 118370.

GCF of Denominators means GCF of 90,81,17,401 as per the given fractions.

GCF of 90,81,17,401 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,70,38,14

LCM of Fractions 89/90,70/81,38/17,14/401 is 118370

2 89, 70, 38, 14
7 89, 35, 19, 7
89, 5, 19, 1

∴ So the LCM of the given numbers is 2 x 7 x 89 x 5 x 19 x 1 = 118370

Least Common Multiple of 89,70,38,14 with GCF Formula

Least Common Multiple of 89,70,38,14 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 89,70,38,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,70,38,14) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(89,70,38,14) x common factors =1 x 28 = 28

LCM(89,70,38,14) = ( 89 × 70 × 38 × 14 ) / 28

LCM(89,70,38,14) = 3314360 / 28

LCM(89,70,38,14) = 118370


Lets's calculate GCF of 90,81,17,401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118370/1

Therefore the LCM of Fractions 89/90,70/81,38/17,14/401 is 118370

Greatest Common Factor of 90,81,17,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,81,17,401 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 81

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

1,3,9,27,81

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Greatest Common Factor

We found the factors 90,81,17,401 . The biggest common factor number is the GCF number.
So the greatest common factor 90,81,17,401 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 89/90, 70/81, 38/17, 14/401

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 89/90, 70/81, 38/17, 14/401?

Answer: LCM of Numerators as per given numbers 89/90, 70/81, 38/17, 14/401 is

LCM of Numerators i.e. for 89,70,38,14 is 118370

GCF of denominators i.e. for 90,81,17,401 is 1.

Thus, LCM of Fractions is 118370.Finally, LCM of Fractions for 89/90, 70/81, 38/17, 14/401 is 118370.