Least Common Multiple of 201/14, 524/18, 989/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 201/14, 524/18, 989/89 quickly i.e. 104165436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 201/14, 524/18, 989/89 is 104165436.

LCM(201/14, 524/18, 989/89) = 104165436

LCM of 201/14, 524/18, 989/89

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 201/14,524/18,989/89

Given numbers are 201/14,524/18,989/89

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 201,524,989

Least Common Multiple of Numerators i.e. LCM of 201,524,989 is 104165436.

GCF of Denominators means GCF of 14,18,89 as per the given fractions.

GCF of 14,18,89 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 201,524,989

LCM of Fractions 201/14,524/18,989/89 is 104165436

Given numbers has no common factors except 1. So, there LCM is their product i.e 104165436

Least Common Multiple of 201,524,989 with GCF Formula

Least Common Multiple of 201,524,989 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 201,524,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(201,524,989) = 1

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

GCF(201,524,989) x common factors =1 x 1 = 1

LCM(201,524,989) = ( 201 × 524 × 989 ) / 1

LCM(201,524,989) = 104165436 / 1

LCM(201,524,989) = 104165436


Lets's calculate GCF of 14,18,89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104165436/1

Therefore the LCM of Fractions 201/14,524/18,989/89 is 104165436

Greatest Common Factor of 14,18,89 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,18,89 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Greatest Common Factor

We found the factors 14,18,89 . The biggest common factor number is the GCF number.
So the greatest common factor 14,18,89 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 201/14, 524/18, 989/89

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 201/14, 524/18, 989/89?

Answer: LCM of Numerators as per given numbers 201/14, 524/18, 989/89 is

LCM of Numerators i.e. for 201,524,989 is 104165436

GCF of denominators i.e. for 14,18,89 is 1.

Thus, LCM of Fractions is 104165436.Finally, LCM of Fractions for 201/14, 524/18, 989/89 is 104165436.