Least Common Multiple of 99/836, 24/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/836, 24/690 quickly i.e. 396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/836, 24/690 is 396.

LCM(99/836, 24/690) = 396

LCM of 99/836, 24/690

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 99/836,24/690

Given numbers are 99/836,24/690

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 99,24

Least Common Multiple of Numerators i.e. LCM of 99,24 is 792.

GCF of Denominators means GCF of 836,690 as per the given fractions.

GCF of 836,690 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,24

LCM of Fractions 99/836,24/690 is 396

3 99, 24
33, 8

∴ So the LCM of the given numbers is 3 x 33 x 8 = 792

Least Common Multiple of 99,24 with GCF Formula

Least Common Multiple of 99,24 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 99,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,24) = 3

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

GCF(99,24) x common factors =3 x 1 = 3

LCM(99,24) = ( 99 × 24 ) / 3

LCM(99,24) = 2376 / 3

LCM(99,24) = 792


Lets's calculate GCF of 836,690

2 836, 690
418, 345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 792/2

Therefore the LCM of Fractions 99/836,24/690 is 396

Greatest Common Factor of 836,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,690 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 836,690 . The biggest common factor number is the GCF number.
So the greatest common factor 836,690 is 2.


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Frequently Asked Questions on Fractional LCM of 99/836, 24/690

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 99/836, 24/690?

Answer: LCM of Numerators as per given numbers 99/836, 24/690 is

LCM of Numerators i.e. for 99,24 is 792

GCF of denominators i.e. for 836,690 is 2.

Thus, LCM of Fractions is 396.Finally, LCM of Fractions for 99/836, 24/690 is 396.