Least Common Multiple of 9513/286, 7297/6324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9513/286, 7297/6324 quickly i.e. 69416361/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9513/286, 7297/6324 is 69416361/2.

LCM(9513/286, 7297/6324) = 69416361/2

LCM of 9513/286, 7297/6324

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 9513/286,7297/6324

Given numbers are 9513/286,7297/6324

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 9513,7297

Least Common Multiple of Numerators i.e. LCM of 9513,7297 is 69416361.

GCF of Denominators means GCF of 286,6324 as per the given fractions.

GCF of 286,6324 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9513,7297

LCM of Fractions 9513/286,7297/6324 is 69416361/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 69416361

Least Common Multiple of 9513,7297 with GCF Formula

Least Common Multiple of 9513,7297 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 9513,7297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9513,7297) = 1

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

GCF(9513,7297) x common factors =1 x 1 = 1

LCM(9513,7297) = ( 9513 × 7297 ) / 1

LCM(9513,7297) = 69416361 / 1

LCM(9513,7297) = 69416361


Lets's calculate GCF of 286,6324

2 286, 6324
143, 3162

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69416361/2

Therefore the LCM of Fractions 9513/286,7297/6324 is 69416361/2

Greatest Common Factor of 286,6324 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,6324 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 6324

List of positive integer factors of 6324 that divides 6324 without a remainder.

1,2,3,4,6,12,17,31,34,51,62,68,93,102,124,186,204,372,527,1054,1581,2108,3162,6324

Greatest Common Factor

We found the factors 286,6324 . The biggest common factor number is the GCF number.
So the greatest common factor 286,6324 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 9513/286, 7297/6324

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 9513/286, 7297/6324?

Answer: LCM of Numerators as per given numbers 9513/286, 7297/6324 is

LCM of Numerators i.e. for 9513,7297 is 69416361

GCF of denominators i.e. for 286,6324 is 2.

Thus, LCM of Fractions is 69416361/2.Finally, LCM of Fractions for 9513/286, 7297/6324 is 69416361/2.