Least Common Multiple of 81/160, 73/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 81/160, 73/438 quickly i.e. 5913/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/160, 73/438 is 5913/2.

LCM(81/160, 73/438) = 5913/2

LCM of 81/160, 73/438

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 81/160,73/438

Given numbers are 81/160,73/438

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 81,73

Least Common Multiple of Numerators i.e. LCM of 81,73 is 5913.

GCF of Denominators means GCF of 160,438 as per the given fractions.

GCF of 160,438 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,73

LCM of Fractions 81/160,73/438 is 5913/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 5913

Least Common Multiple of 81,73 with GCF Formula

Least Common Multiple of 81,73 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 81,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,73) = 1

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

GCF(81,73) x common factors =1 x 1 = 1

LCM(81,73) = ( 81 × 73 ) / 1

LCM(81,73) = 5913 / 1

LCM(81,73) = 5913


Lets's calculate GCF of 160,438

2 160, 438
80, 219

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5913/2

Therefore the LCM of Fractions 81/160,73/438 is 5913/2

Greatest Common Factor of 160,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,438 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 160,438 . The biggest common factor number is the GCF number.
So the greatest common factor 160,438 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 81/160, 73/438

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 81/160, 73/438?

Answer: LCM of Numerators as per given numbers 81/160, 73/438 is

LCM of Numerators i.e. for 81,73 is 5913

GCF of denominators i.e. for 160,438 is 2.

Thus, LCM of Fractions is 5913/2.Finally, LCM of Fractions for 81/160, 73/438 is 5913/2.