Least Common Multiple of 9804/323, 9507/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9804/323, 9507/102 quickly i.e. 31068876/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9804/323, 9507/102 is 31068876/17.

LCM(9804/323, 9507/102) = 31068876/17

LCM of 9804/323, 9507/102

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 9804/323,9507/102

Given numbers are 9804/323,9507/102

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 9804,9507

Least Common Multiple of Numerators i.e. LCM of 9804,9507 is 31068876.

GCF of Denominators means GCF of 323,102 as per the given fractions.

GCF of 323,102 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9804,9507

LCM of Fractions 9804/323,9507/102 is 31068876/17

3 9804, 9507
3268, 3169

∴ So the LCM of the given numbers is 3 x 3268 x 3169 = 31068876

Least Common Multiple of 9804,9507 with GCF Formula

Least Common Multiple of 9804,9507 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 9804,9507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9804,9507) = 3

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

GCF(9804,9507) x common factors =3 x 1 = 3

LCM(9804,9507) = ( 9804 × 9507 ) / 3

LCM(9804,9507) = 93206628 / 3

LCM(9804,9507) = 31068876


Lets's calculate GCF of 323,102

17 323, 102
19, 6

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31068876/17

Therefore the LCM of Fractions 9804/323,9507/102 is 31068876/17

Greatest Common Factor of 323,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 323,102 By Matching Biggest Common Factor Method

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 323,102 . The biggest common factor number is the GCF number.
So the greatest common factor 323,102 is 17.


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 9804/323, 9507/102

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 9804/323, 9507/102?

Answer: LCM of Numerators as per given numbers 9804/323, 9507/102 is

LCM of Numerators i.e. for 9804,9507 is 31068876

GCF of denominators i.e. for 323,102 is 17.

Thus, LCM of Fractions is 31068876/17.Finally, LCM of Fractions for 9804/323, 9507/102 is 31068876/17.