Least Common Multiple of 421/81, 784/3198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 421/81, 784/3198 quickly i.e. 330064/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 421/81, 784/3198 is 330064/3.

LCM(421/81, 784/3198) = 330064/3

LCM of 421/81, 784/3198

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 421/81,784/3198

Given numbers are 421/81,784/3198

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 421,784

Least Common Multiple of Numerators i.e. LCM of 421,784 is 330064.

GCF of Denominators means GCF of 81,3198 as per the given fractions.

GCF of 81,3198 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 421,784

LCM of Fractions 421/81,784/3198 is 330064/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 330064

Least Common Multiple of 421,784 with GCF Formula

Least Common Multiple of 421,784 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 421,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,784) = 1

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

GCF(421,784) x common factors =1 x 1 = 1

LCM(421,784) = ( 421 × 784 ) / 1

LCM(421,784) = 330064 / 1

LCM(421,784) = 330064


Lets's calculate GCF of 81,3198

3 81, 3198
27, 1066

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330064/3

Therefore the LCM of Fractions 421/81,784/3198 is 330064/3

Greatest Common Factor of 81,3198 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,3198 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 3198

List of positive integer factors of 3198 that divides 3198 without a remainder.

1,2,3,6,13,26,39,41,78,82,123,246,533,1066,1599,3198

Greatest Common Factor

We found the factors 81,3198 . The biggest common factor number is the GCF number.
So the greatest common factor 81,3198 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 421/81, 784/3198

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 421/81, 784/3198?

Answer: LCM of Numerators as per given numbers 421/81, 784/3198 is

LCM of Numerators i.e. for 421,784 is 330064

GCF of denominators i.e. for 81,3198 is 3.

Thus, LCM of Fractions is 330064/3.Finally, LCM of Fractions for 421/81, 784/3198 is 330064/3.