Least Common Multiple of 44/73, 989/28, 775/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/73, 989/28, 775/107 quickly i.e. 33724900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/73, 989/28, 775/107 is 33724900.

LCM(44/73, 989/28, 775/107) = 33724900

LCM of 44/73, 989/28, 775/107

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 44/73,989/28,775/107

Given numbers are 44/73,989/28,775/107

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 44,989,775

Least Common Multiple of Numerators i.e. LCM of 44,989,775 is 33724900.

GCF of Denominators means GCF of 73,28,107 as per the given fractions.

GCF of 73,28,107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,989,775

LCM of Fractions 44/73,989/28,775/107 is 33724900

Given numbers has no common factors except 1. So, there LCM is their product i.e 33724900

Least Common Multiple of 44,989,775 with GCF Formula

Least Common Multiple of 44,989,775 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 44,989,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,989,775) = 1

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

GCF(44,989,775) x common factors =1 x 1 = 1

LCM(44,989,775) = ( 44 × 989 × 775 ) / 1

LCM(44,989,775) = 33724900 / 1

LCM(44,989,775) = 33724900


Lets's calculate GCF of 73,28,107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33724900/1

Therefore the LCM of Fractions 44/73,989/28,775/107 is 33724900

Greatest Common Factor of 73,28,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,28,107 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 73,28,107 . The biggest common factor number is the GCF number.
So the greatest common factor 73,28,107 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 44/73, 989/28, 775/107

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 44/73, 989/28, 775/107?

Answer: LCM of Numerators as per given numbers 44/73, 989/28, 775/107 is

LCM of Numerators i.e. for 44,989,775 is 33724900

GCF of denominators i.e. for 73,28,107 is 1.

Thus, LCM of Fractions is 33724900.Finally, LCM of Fractions for 44/73, 989/28, 775/107 is 33724900.