Least Common Multiple of 9849/836, 3798/247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9849/836, 3798/247 quickly i.e. 12468834/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9849/836, 3798/247 is 12468834/19.

LCM(9849/836, 3798/247) = 12468834/19

LCM of 9849/836, 3798/247

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 9849/836,3798/247

Given numbers are 9849/836,3798/247

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 9849,3798

Least Common Multiple of Numerators i.e. LCM of 9849,3798 is 12468834.

GCF of Denominators means GCF of 836,247 as per the given fractions.

GCF of 836,247 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9849,3798

LCM of Fractions 9849/836,3798/247 is 12468834/19

3 9849, 3798
3283, 1266

∴ So the LCM of the given numbers is 3 x 3283 x 1266 = 12468834

Least Common Multiple of 9849,3798 with GCF Formula

Least Common Multiple of 9849,3798 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 9849,3798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9849,3798) = 3

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

GCF(9849,3798) x common factors =3 x 1 = 3

LCM(9849,3798) = ( 9849 × 3798 ) / 3

LCM(9849,3798) = 37406502 / 3

LCM(9849,3798) = 12468834


Lets's calculate GCF of 836,247

19 836, 247
44, 13

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12468834/19

Therefore the LCM of Fractions 9849/836,3798/247 is 12468834/19

Greatest Common Factor of 836,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,247 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 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 836,247 . The biggest common factor number is the GCF number.
So the greatest common factor 836,247 is 19.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 9849/836, 3798/247

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 9849/836, 3798/247?

Answer: LCM of Numerators as per given numbers 9849/836, 3798/247 is

LCM of Numerators i.e. for 9849,3798 is 12468834

GCF of denominators i.e. for 836,247 is 19.

Thus, LCM of Fractions is 12468834/19.Finally, LCM of Fractions for 9849/836, 3798/247 is 12468834/19.