Least Common Multiple of 199/73, 2736/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 199/73, 2736/644 quickly i.e. 544464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/73, 2736/644 is 544464.

LCM(199/73, 2736/644) = 544464

LCM of 199/73, 2736/644

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 199/73,2736/644

Given numbers are 199/73,2736/644

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 199,2736

Least Common Multiple of Numerators i.e. LCM of 199,2736 is 544464.

GCF of Denominators means GCF of 73,644 as per the given fractions.

GCF of 73,644 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,2736

LCM of Fractions 199/73,2736/644 is 544464

Given numbers has no common factors except 1. So, there LCM is their product i.e 544464

Least Common Multiple of 199,2736 with GCF Formula

Least Common Multiple of 199,2736 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 199,2736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,2736) = 1

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

GCF(199,2736) x common factors =1 x 1 = 1

LCM(199,2736) = ( 199 × 2736 ) / 1

LCM(199,2736) = 544464 / 1

LCM(199,2736) = 544464


Lets's calculate GCF of 73,644

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 544464/1

Therefore the LCM of Fractions 199/73,2736/644 is 544464

Greatest Common Factor of 73,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,644 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 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 73,644 . The biggest common factor number is the GCF number.
So the greatest common factor 73,644 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 199/73, 2736/644

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 199/73, 2736/644?

Answer: LCM of Numerators as per given numbers 199/73, 2736/644 is

LCM of Numerators i.e. for 199,2736 is 544464

GCF of denominators i.e. for 73,644 is 1.

Thus, LCM of Fractions is 544464.Finally, LCM of Fractions for 199/73, 2736/644 is 544464.