Least Common Multiple of 2147/592, 9369/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2147/592, 9369/189 quickly i.e. 20115243 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2147/592, 9369/189 is 20115243.

LCM(2147/592, 9369/189) = 20115243

LCM of 2147/592, 9369/189

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 2147/592,9369/189

Given numbers are 2147/592,9369/189

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 2147,9369

Least Common Multiple of Numerators i.e. LCM of 2147,9369 is 20115243.

GCF of Denominators means GCF of 592,189 as per the given fractions.

GCF of 592,189 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2147,9369

LCM of Fractions 2147/592,9369/189 is 20115243

Given numbers has no common factors except 1. So, there LCM is their product i.e 20115243

Least Common Multiple of 2147,9369 with GCF Formula

Least Common Multiple of 2147,9369 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 2147,9369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2147,9369) = 1

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

GCF(2147,9369) x common factors =1 x 1 = 1

LCM(2147,9369) = ( 2147 × 9369 ) / 1

LCM(2147,9369) = 20115243 / 1

LCM(2147,9369) = 20115243


Lets's calculate GCF of 592,189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20115243/1

Therefore the LCM of Fractions 2147/592,9369/189 is 20115243

Greatest Common Factor of 592,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,189 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 189

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

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

Greatest Common Factor

We found the factors 592,189 . The biggest common factor number is the GCF number.
So the greatest common factor 592,189 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2147/592, 9369/189

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 2147/592, 9369/189?

Answer: LCM of Numerators as per given numbers 2147/592, 9369/189 is

LCM of Numerators i.e. for 2147,9369 is 20115243

GCF of denominators i.e. for 592,189 is 1.

Thus, LCM of Fractions is 20115243.Finally, LCM of Fractions for 2147/592, 9369/189 is 20115243.