Least Common Multiple of 73/28, 27/72, 658/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 73/28, 27/72, 658/194 quickly i.e. 648459 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/28, 27/72, 658/194 is 648459.

LCM(73/28, 27/72, 658/194) = 648459

LCM of 73/28, 27/72, 658/194

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 73/28,27/72,658/194

Given numbers are 73/28,27/72,658/194

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 73,27,658

Least Common Multiple of Numerators i.e. LCM of 73,27,658 is 1296918.

GCF of Denominators means GCF of 28,72,194 as per the given fractions.

GCF of 28,72,194 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,27,658

LCM of Fractions 73/28,27/72,658/194 is 648459

Given numbers has no common factors except 1. So, there LCM is their product i.e 1296918

Least Common Multiple of 73,27,658 with GCF Formula

Least Common Multiple of 73,27,658 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 73,27,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,27,658) = 1

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

GCF(73,27,658) x common factors =1 x 1 = 1

LCM(73,27,658) = ( 73 × 27 × 658 ) / 1

LCM(73,27,658) = 1296918 / 1

LCM(73,27,658) = 1296918


Lets's calculate GCF of 28,72,194

2 28, 72, 194
14, 36, 97

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1296918/2

Therefore the LCM of Fractions 73/28,27/72,658/194 is 648459

Greatest Common Factor of 28,72,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,72,194 By Matching Biggest Common Factor Method

Factors of 28

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

1,2,4,7,14,28

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 28,72,194 . The biggest common factor number is the GCF number.
So the greatest common factor 28,72,194 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 73/28, 27/72, 658/194

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 73/28, 27/72, 658/194?

Answer: LCM of Numerators as per given numbers 73/28, 27/72, 658/194 is

LCM of Numerators i.e. for 73,27,658 is 1296918

GCF of denominators i.e. for 28,72,194 is 2.

Thus, LCM of Fractions is 648459.Finally, LCM of Fractions for 73/28, 27/72, 658/194 is 648459.