Least Common Multiple of 55/189, 556/791, 589/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/189, 556/791, 589/201 quickly i.e. 18011620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/189, 556/791, 589/201 is 18011620.

LCM(55/189, 556/791, 589/201) = 18011620

LCM of 55/189, 556/791, 589/201

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 55/189,556/791,589/201

Given numbers are 55/189,556/791,589/201

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 55,556,589

Least Common Multiple of Numerators i.e. LCM of 55,556,589 is 18011620.

GCF of Denominators means GCF of 189,791,201 as per the given fractions.

GCF of 189,791,201 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,556,589

LCM of Fractions 55/189,556/791,589/201 is 18011620

Given numbers has no common factors except 1. So, there LCM is their product i.e 18011620

Least Common Multiple of 55,556,589 with GCF Formula

Least Common Multiple of 55,556,589 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 55,556,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,556,589) = 1

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

GCF(55,556,589) x common factors =1 x 1 = 1

LCM(55,556,589) = ( 55 × 556 × 589 ) / 1

LCM(55,556,589) = 18011620 / 1

LCM(55,556,589) = 18011620


Lets's calculate GCF of 189,791,201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18011620/1

Therefore the LCM of Fractions 55/189,556/791,589/201 is 18011620

Greatest Common Factor of 189,791,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,791,201 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 189,791,201 . The biggest common factor number is the GCF number.
So the greatest common factor 189,791,201 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/189, 556/791, 589/201

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 55/189, 556/791, 589/201?

Answer: LCM of Numerators as per given numbers 55/189, 556/791, 589/201 is

LCM of Numerators i.e. for 55,556,589 is 18011620

GCF of denominators i.e. for 189,791,201 is 1.

Thus, LCM of Fractions is 18011620.Finally, LCM of Fractions for 55/189, 556/791, 589/201 is 18011620.