Least Common Multiple of 818/99, 838/86, 266/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 818/99, 838/86, 266/598 quickly i.e. 45584686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 818/99, 838/86, 266/598 is 45584686.

LCM(818/99, 838/86, 266/598) = 45584686

LCM of 818/99, 838/86, 266/598

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 818/99,838/86,266/598

Given numbers are 818/99,838/86,266/598

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 818,838,266

Least Common Multiple of Numerators i.e. LCM of 818,838,266 is 45584686.

GCF of Denominators means GCF of 99,86,598 as per the given fractions.

GCF of 99,86,598 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 818,838,266

LCM of Fractions 818/99,838/86,266/598 is 45584686

2 818, 838, 266
409, 419, 133

∴ So the LCM of the given numbers is 2 x 409 x 419 x 133 = 45584686

Least Common Multiple of 818,838,266 with GCF Formula

Least Common Multiple of 818,838,266 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 818,838,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,838,266) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(818,838,266) x common factors =2 x 2 = 4

LCM(818,838,266) = ( 818 × 838 × 266 ) / 4

LCM(818,838,266) = 182338744 / 4

LCM(818,838,266) = 45584686


Lets's calculate GCF of 99,86,598

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45584686/1

Therefore the LCM of Fractions 818/99,838/86,266/598 is 45584686

Greatest Common Factor of 99,86,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,86,598 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 86

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

1,2,43,86

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 99,86,598 . The biggest common factor number is the GCF number.
So the greatest common factor 99,86,598 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 818/99, 838/86, 266/598

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 818/99, 838/86, 266/598?

Answer: LCM of Numerators as per given numbers 818/99, 838/86, 266/598 is

LCM of Numerators i.e. for 818,838,266 is 45584686

GCF of denominators i.e. for 99,86,598 is 1.

Thus, LCM of Fractions is 45584686.Finally, LCM of Fractions for 818/99, 838/86, 266/598 is 45584686.