Least Common Multiple of 9970/412, 4857/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9970/412, 4857/990 quickly i.e. 24212145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9970/412, 4857/990 is 24212145.

LCM(9970/412, 4857/990) = 24212145

LCM of 9970/412, 4857/990

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 9970/412,4857/990

Given numbers are 9970/412,4857/990

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 9970,4857

Least Common Multiple of Numerators i.e. LCM of 9970,4857 is 48424290.

GCF of Denominators means GCF of 412,990 as per the given fractions.

GCF of 412,990 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9970,4857

LCM of Fractions 9970/412,4857/990 is 24212145

Given numbers has no common factors except 1. So, there LCM is their product i.e 48424290

Least Common Multiple of 9970,4857 with GCF Formula

Least Common Multiple of 9970,4857 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 9970,4857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9970,4857) = 1

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

GCF(9970,4857) x common factors =1 x 1 = 1

LCM(9970,4857) = ( 9970 × 4857 ) / 1

LCM(9970,4857) = 48424290 / 1

LCM(9970,4857) = 48424290


Lets's calculate GCF of 412,990

2 412, 990
206, 495

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48424290/2

Therefore the LCM of Fractions 9970/412,4857/990 is 24212145

Greatest Common Factor of 412,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,990 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 412,990 . The biggest common factor number is the GCF number.
So the greatest common factor 412,990 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9970/412, 4857/990

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 9970/412, 4857/990?

Answer: LCM of Numerators as per given numbers 9970/412, 4857/990 is

LCM of Numerators i.e. for 9970,4857 is 48424290

GCF of denominators i.e. for 412,990 is 2.

Thus, LCM of Fractions is 24212145.Finally, LCM of Fractions for 9970/412, 4857/990 is 24212145.