Least Common Multiple of 73/50, 65/17, 102/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 73/50, 65/17, 102/363 quickly i.e. 483990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/50, 65/17, 102/363 is 483990.

LCM(73/50, 65/17, 102/363) = 483990

LCM of 73/50, 65/17, 102/363

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 73/50,65/17,102/363

Given numbers are 73/50,65/17,102/363

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 73,65,102

Least Common Multiple of Numerators i.e. LCM of 73,65,102 is 483990.

GCF of Denominators means GCF of 50,17,363 as per the given fractions.

GCF of 50,17,363 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,65,102

LCM of Fractions 73/50,65/17,102/363 is 483990

Given numbers has no common factors except 1. So, there LCM is their product i.e 483990

Least Common Multiple of 73,65,102 with GCF Formula

Least Common Multiple of 73,65,102 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 73,65,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,65,102) = 1

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

GCF(73,65,102) x common factors =1 x 1 = 1

LCM(73,65,102) = ( 73 × 65 × 102 ) / 1

LCM(73,65,102) = 483990 / 1

LCM(73,65,102) = 483990


Lets's calculate GCF of 50,17,363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 483990/1

Therefore the LCM of Fractions 73/50,65/17,102/363 is 483990

Greatest Common Factor of 50,17,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,17,363 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 50,17,363 . The biggest common factor number is the GCF number.
So the greatest common factor 50,17,363 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 73/50, 65/17, 102/363

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 73/50, 65/17, 102/363?

Answer: LCM of Numerators as per given numbers 73/50, 65/17, 102/363 is

LCM of Numerators i.e. for 73,65,102 is 483990

GCF of denominators i.e. for 50,17,363 is 1.

Thus, LCM of Fractions is 483990.Finally, LCM of Fractions for 73/50, 65/17, 102/363 is 483990.