Least Common Multiple of 9609/210, 4821/3327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9609/210, 4821/3327 quickly i.e. 5147221 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9609/210, 4821/3327 is 5147221.

LCM(9609/210, 4821/3327) = 5147221

LCM of 9609/210, 4821/3327

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 9609/210,4821/3327

Given numbers are 9609/210,4821/3327

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 9609,4821

Least Common Multiple of Numerators i.e. LCM of 9609,4821 is 15441663.

GCF of Denominators means GCF of 210,3327 as per the given fractions.

GCF of 210,3327 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9609,4821

LCM of Fractions 9609/210,4821/3327 is 5147221

3 9609, 4821
3203, 1607

∴ So the LCM of the given numbers is 3 x 3203 x 1607 = 15441663

Least Common Multiple of 9609,4821 with GCF Formula

Least Common Multiple of 9609,4821 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 9609,4821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9609,4821) = 3

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

GCF(9609,4821) x common factors =3 x 1 = 3

LCM(9609,4821) = ( 9609 × 4821 ) / 3

LCM(9609,4821) = 46324989 / 3

LCM(9609,4821) = 15441663


Lets's calculate GCF of 210,3327

3 210, 3327
70, 1109

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15441663/3

Therefore the LCM of Fractions 9609/210,4821/3327 is 5147221

Greatest Common Factor of 210,3327 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,3327 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 3327

List of positive integer factors of 3327 that divides 3327 without a remainder.

1,3,1109,3327

Greatest Common Factor

We found the factors 210,3327 . The biggest common factor number is the GCF number.
So the greatest common factor 210,3327 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9609/210, 4821/3327

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 9609/210, 4821/3327?

Answer: LCM of Numerators as per given numbers 9609/210, 4821/3327 is

LCM of Numerators i.e. for 9609,4821 is 15441663

GCF of denominators i.e. for 210,3327 is 3.

Thus, LCM of Fractions is 5147221.Finally, LCM of Fractions for 9609/210, 4821/3327 is 5147221.