Least Common Multiple of 81/43, 44/38, 99/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 81/43, 44/38, 99/965 quickly i.e. 3564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/43, 44/38, 99/965 is 3564.

LCM(81/43, 44/38, 99/965) = 3564

LCM of 81/43, 44/38, 99/965

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 81/43,44/38,99/965

Given numbers are 81/43,44/38,99/965

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 81,44,99

Least Common Multiple of Numerators i.e. LCM of 81,44,99 is 3564.

GCF of Denominators means GCF of 43,38,965 as per the given fractions.

GCF of 43,38,965 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,44,99

LCM of Fractions 81/43,44/38,99/965 is 3564

3 81, 44, 99
3 27, 44, 33
11 9, 44, 11
9, 4, 1

∴ So the LCM of the given numbers is 3 x 3 x 11 x 9 x 4 x 1 = 3564

Least Common Multiple of 81,44,99 with GCF Formula

Least Common Multiple of 81,44,99 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 81,44,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,44,99) = 1

common factors(in case of two or more numbers have common factors) = 99

GCF(81,44,99) x common factors =1 x 99 = 99

LCM(81,44,99) = ( 81 × 44 × 99 ) / 99

LCM(81,44,99) = 352836 / 99

LCM(81,44,99) = 3564


Lets's calculate GCF of 43,38,965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3564/1

Therefore the LCM of Fractions 81/43,44/38,99/965 is 3564

Greatest Common Factor of 43,38,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,38,965 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 43,38,965 . The biggest common factor number is the GCF number.
So the greatest common factor 43,38,965 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 81/43, 44/38, 99/965

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 81/43, 44/38, 99/965?

Answer: LCM of Numerators as per given numbers 81/43, 44/38, 99/965 is

LCM of Numerators i.e. for 81,44,99 is 3564

GCF of denominators i.e. for 43,38,965 is 1.

Thus, LCM of Fractions is 3564.Finally, LCM of Fractions for 81/43, 44/38, 99/965 is 3564.