Least Common Multiple of 73/554, 8198/8418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 73/554, 8198/8418 quickly i.e. 299227 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/554, 8198/8418 is 299227.

LCM(73/554, 8198/8418) = 299227

LCM of 73/554, 8198/8418

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 73/554,8198/8418

Given numbers are 73/554,8198/8418

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 73,8198

Least Common Multiple of Numerators i.e. LCM of 73,8198 is 598454.

GCF of Denominators means GCF of 554,8418 as per the given fractions.

GCF of 554,8418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,8198

LCM of Fractions 73/554,8198/8418 is 299227

Given numbers has no common factors except 1. So, there LCM is their product i.e 598454

Least Common Multiple of 73,8198 with GCF Formula

Least Common Multiple of 73,8198 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 73,8198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,8198) = 1

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

GCF(73,8198) x common factors =1 x 1 = 1

LCM(73,8198) = ( 73 × 8198 ) / 1

LCM(73,8198) = 598454 / 1

LCM(73,8198) = 598454


Lets's calculate GCF of 554,8418

2 554, 8418
277, 4209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 598454/2

Therefore the LCM of Fractions 73/554,8198/8418 is 299227

Greatest Common Factor of 554,8418 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,8418 By Matching Biggest Common Factor Method

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 8418

List of positive integer factors of 8418 that divides 8418 without a remainder.

1,2,3,6,23,46,61,69,122,138,183,366,1403,2806,4209,8418

Greatest Common Factor

We found the factors 554,8418 . The biggest common factor number is the GCF number.
So the greatest common factor 554,8418 is 2.


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Frequently Asked Questions on Fractional LCM of 73/554, 8198/8418

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 73/554, 8198/8418?

Answer: LCM of Numerators as per given numbers 73/554, 8198/8418 is

LCM of Numerators i.e. for 73,8198 is 598454

GCF of denominators i.e. for 554,8418 is 2.

Thus, LCM of Fractions is 299227.Finally, LCM of Fractions for 73/554, 8198/8418 is 299227.