Least Common Multiple of 9651/364, 4383/8299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9651/364, 4383/8299 quickly i.e. 14100111 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9651/364, 4383/8299 is 14100111.

LCM(9651/364, 4383/8299) = 14100111

LCM of 9651/364, 4383/8299

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 9651/364,4383/8299

Given numbers are 9651/364,4383/8299

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 9651,4383

Least Common Multiple of Numerators i.e. LCM of 9651,4383 is 14100111.

GCF of Denominators means GCF of 364,8299 as per the given fractions.

GCF of 364,8299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9651,4383

LCM of Fractions 9651/364,4383/8299 is 14100111

3 9651, 4383
3217, 1461

∴ So the LCM of the given numbers is 3 x 3217 x 1461 = 14100111

Least Common Multiple of 9651,4383 with GCF Formula

Least Common Multiple of 9651,4383 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 9651,4383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9651,4383) = 3

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

GCF(9651,4383) x common factors =3 x 1 = 3

LCM(9651,4383) = ( 9651 × 4383 ) / 3

LCM(9651,4383) = 42300333 / 3

LCM(9651,4383) = 14100111


Lets's calculate GCF of 364,8299

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14100111/1

Therefore the LCM of Fractions 9651/364,4383/8299 is 14100111

Greatest Common Factor of 364,8299 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,8299 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 8299

List of positive integer factors of 8299 that divides 8299 without a remainder.

1,43,193,8299

Greatest Common Factor

We found the factors 364,8299 . The biggest common factor number is the GCF number.
So the greatest common factor 364,8299 is 1.


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 9651/364, 4383/8299

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 9651/364, 4383/8299?

Answer: LCM of Numerators as per given numbers 9651/364, 4383/8299 is

LCM of Numerators i.e. for 9651,4383 is 14100111

GCF of denominators i.e. for 364,8299 is 1.

Thus, LCM of Fractions is 14100111.Finally, LCM of Fractions for 9651/364, 4383/8299 is 14100111.