Least Common Multiple of 181/23, 159/9987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 181/23, 159/9987 quickly i.e. 28779 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 181/23, 159/9987 is 28779.

LCM(181/23, 159/9987) = 28779

LCM of 181/23, 159/9987

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 181/23,159/9987

Given numbers are 181/23,159/9987

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 181,159

Least Common Multiple of Numerators i.e. LCM of 181,159 is 28779.

GCF of Denominators means GCF of 23,9987 as per the given fractions.

GCF of 23,9987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 181,159

LCM of Fractions 181/23,159/9987 is 28779

Given numbers has no common factors except 1. So, there LCM is their product i.e 28779

Least Common Multiple of 181,159 with GCF Formula

Least Common Multiple of 181,159 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 181,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,159) = 1

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

GCF(181,159) x common factors =1 x 1 = 1

LCM(181,159) = ( 181 × 159 ) / 1

LCM(181,159) = 28779 / 1

LCM(181,159) = 28779


Lets's calculate GCF of 23,9987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28779/1

Therefore the LCM of Fractions 181/23,159/9987 is 28779

Greatest Common Factor of 23,9987 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,9987 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 9987

List of positive integer factors of 9987 that divides 9987 without a remainder.

1,3,3329,9987

Greatest Common Factor

We found the factors 23,9987 . The biggest common factor number is the GCF number.
So the greatest common factor 23,9987 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 181/23, 159/9987

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 181/23, 159/9987?

Answer: LCM of Numerators as per given numbers 181/23, 159/9987 is

LCM of Numerators i.e. for 181,159 is 28779

GCF of denominators i.e. for 23,9987 is 1.

Thus, LCM of Fractions is 28779.Finally, LCM of Fractions for 181/23, 159/9987 is 28779.