Least Common Multiple of 7298/213, 9413/6633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7298/213, 9413/6633 quickly i.e. 68696074/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7298/213, 9413/6633 is 68696074/3.

LCM(7298/213, 9413/6633) = 68696074/3

LCM of 7298/213, 9413/6633

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 7298/213,9413/6633

Given numbers are 7298/213,9413/6633

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 7298,9413

Least Common Multiple of Numerators i.e. LCM of 7298,9413 is 68696074.

GCF of Denominators means GCF of 213,6633 as per the given fractions.

GCF of 213,6633 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7298,9413

LCM of Fractions 7298/213,9413/6633 is 68696074/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 68696074

Least Common Multiple of 7298,9413 with GCF Formula

Least Common Multiple of 7298,9413 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 7298,9413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7298,9413) = 1

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

GCF(7298,9413) x common factors =1 x 1 = 1

LCM(7298,9413) = ( 7298 × 9413 ) / 1

LCM(7298,9413) = 68696074 / 1

LCM(7298,9413) = 68696074


Lets's calculate GCF of 213,6633

3 213, 6633
71, 2211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68696074/3

Therefore the LCM of Fractions 7298/213,9413/6633 is 68696074/3

Greatest Common Factor of 213,6633 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,6633 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 6633

List of positive integer factors of 6633 that divides 6633 without a remainder.

1,3,9,11,33,67,99,201,603,737,2211,6633

Greatest Common Factor

We found the factors 213,6633 . The biggest common factor number is the GCF number.
So the greatest common factor 213,6633 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 7298/213, 9413/6633

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 7298/213, 9413/6633?

Answer: LCM of Numerators as per given numbers 7298/213, 9413/6633 is

LCM of Numerators i.e. for 7298,9413 is 68696074

GCF of denominators i.e. for 213,6633 is 3.

Thus, LCM of Fractions is 68696074/3.Finally, LCM of Fractions for 7298/213, 9413/6633 is 68696074/3.