Least Common Multiple of 990/82, 106/8269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 990/82, 106/8269 quickly i.e. 52470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 990/82, 106/8269 is 52470.

LCM(990/82, 106/8269) = 52470

LCM of 990/82, 106/8269

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 990/82,106/8269

Given numbers are 990/82,106/8269

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 990,106

Least Common Multiple of Numerators i.e. LCM of 990,106 is 52470.

GCF of Denominators means GCF of 82,8269 as per the given fractions.

GCF of 82,8269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 990,106

LCM of Fractions 990/82,106/8269 is 52470

2 990, 106
495, 53

∴ So the LCM of the given numbers is 2 x 495 x 53 = 52470

Least Common Multiple of 990,106 with GCF Formula

Least Common Multiple of 990,106 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 990,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,106) = 2

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

GCF(990,106) x common factors =2 x 1 = 2

LCM(990,106) = ( 990 × 106 ) / 2

LCM(990,106) = 104940 / 2

LCM(990,106) = 52470


Lets's calculate GCF of 82,8269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52470/1

Therefore the LCM of Fractions 990/82,106/8269 is 52470

Greatest Common Factor of 82,8269 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,8269 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 8269

List of positive integer factors of 8269 that divides 8269 without a remainder.

1,8269

Greatest Common Factor

We found the factors 82,8269 . The biggest common factor number is the GCF number.
So the greatest common factor 82,8269 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 990/82, 106/8269

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 990/82, 106/8269?

Answer: LCM of Numerators as per given numbers 990/82, 106/8269 is

LCM of Numerators i.e. for 990,106 is 52470

GCF of denominators i.e. for 82,8269 is 1.

Thus, LCM of Fractions is 52470.Finally, LCM of Fractions for 990/82, 106/8269 is 52470.