Least Common Multiple of 6459/246, 9920/8199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6459/246, 9920/8199 quickly i.e. 21357760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6459/246, 9920/8199 is 21357760.

LCM(6459/246, 9920/8199) = 21357760

LCM of 6459/246, 9920/8199

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 6459/246,9920/8199

Given numbers are 6459/246,9920/8199

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 6459,9920

Least Common Multiple of Numerators i.e. LCM of 6459,9920 is 64073280.

GCF of Denominators means GCF of 246,8199 as per the given fractions.

GCF of 246,8199 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6459,9920

LCM of Fractions 6459/246,9920/8199 is 21357760

Given numbers has no common factors except 1. So, there LCM is their product i.e 64073280

Least Common Multiple of 6459,9920 with GCF Formula

Least Common Multiple of 6459,9920 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 6459,9920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6459,9920) = 1

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

GCF(6459,9920) x common factors =1 x 1 = 1

LCM(6459,9920) = ( 6459 × 9920 ) / 1

LCM(6459,9920) = 64073280 / 1

LCM(6459,9920) = 64073280


Lets's calculate GCF of 246,8199

3 246, 8199
82, 2733

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64073280/3

Therefore the LCM of Fractions 6459/246,9920/8199 is 21357760

Greatest Common Factor of 246,8199 By Matching Biggest Common Factor Method

Greatest Common Factor of 246,8199 By Matching Biggest Common Factor Method

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 8199

List of positive integer factors of 8199 that divides 8199 without a remainder.

1,3,9,911,2733,8199

Greatest Common Factor

We found the factors 246,8199 . The biggest common factor number is the GCF number.
So the greatest common factor 246,8199 is 3.


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Frequently Asked Questions on Fractional LCM of 6459/246, 9920/8199

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 6459/246, 9920/8199?

Answer: LCM of Numerators as per given numbers 6459/246, 9920/8199 is

LCM of Numerators i.e. for 6459,9920 is 64073280

GCF of denominators i.e. for 246,8199 is 3.

Thus, LCM of Fractions is 21357760.Finally, LCM of Fractions for 6459/246, 9920/8199 is 21357760.