Least Common Multiple of 499/86, 9943/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 499/86, 9943/994 quickly i.e. 4961557/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 499/86, 9943/994 is 4961557/2.

LCM(499/86, 9943/994) = 4961557/2

LCM of 499/86, 9943/994

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 499/86,9943/994

Given numbers are 499/86,9943/994

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 499,9943

Least Common Multiple of Numerators i.e. LCM of 499,9943 is 4961557.

GCF of Denominators means GCF of 86,994 as per the given fractions.

GCF of 86,994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 499,9943

LCM of Fractions 499/86,9943/994 is 4961557/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 4961557

Least Common Multiple of 499,9943 with GCF Formula

Least Common Multiple of 499,9943 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 499,9943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,9943) = 1

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

GCF(499,9943) x common factors =1 x 1 = 1

LCM(499,9943) = ( 499 × 9943 ) / 1

LCM(499,9943) = 4961557 / 1

LCM(499,9943) = 4961557


Lets's calculate GCF of 86,994

2 86, 994
43, 497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4961557/2

Therefore the LCM of Fractions 499/86,9943/994 is 4961557/2

Greatest Common Factor of 86,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,994 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 86,994 . The biggest common factor number is the GCF number.
So the greatest common factor 86,994 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 499/86, 9943/994

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 499/86, 9943/994?

Answer: LCM of Numerators as per given numbers 499/86, 9943/994 is

LCM of Numerators i.e. for 499,9943 is 4961557

GCF of denominators i.e. for 86,994 is 2.

Thus, LCM of Fractions is 4961557/2.Finally, LCM of Fractions for 499/86, 9943/994 is 4961557/2.