Least Common Multiple of 9288/364, 8509/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9288/364, 8509/322 quickly i.e. 79031592/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9288/364, 8509/322 is 79031592/14.

LCM(9288/364, 8509/322) = 79031592/14

LCM of 9288/364, 8509/322

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 9288/364,8509/322

Given numbers are 9288/364,8509/322

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 9288,8509

Least Common Multiple of Numerators i.e. LCM of 9288,8509 is 79031592.

GCF of Denominators means GCF of 364,322 as per the given fractions.

GCF of 364,322 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9288,8509

LCM of Fractions 9288/364,8509/322 is 79031592/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 79031592

Least Common Multiple of 9288,8509 with GCF Formula

Least Common Multiple of 9288,8509 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 9288,8509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9288,8509) = 1

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

GCF(9288,8509) x common factors =1 x 1 = 1

LCM(9288,8509) = ( 9288 × 8509 ) / 1

LCM(9288,8509) = 79031592 / 1

LCM(9288,8509) = 79031592


Lets's calculate GCF of 364,322

2 364, 322
7 182, 161
26, 23

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79031592/14

Therefore the LCM of Fractions 9288/364,8509/322 is 79031592/14

Greatest Common Factor of 364,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,322 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 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 364,322 . The biggest common factor number is the GCF number.
So the greatest common factor 364,322 is 14.


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 9288/364, 8509/322

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 9288/364, 8509/322?

Answer: LCM of Numerators as per given numbers 9288/364, 8509/322 is

LCM of Numerators i.e. for 9288,8509 is 79031592

GCF of denominators i.e. for 364,322 is 14.

Thus, LCM of Fractions is 79031592/14.Finally, LCM of Fractions for 9288/364, 8509/322 is 79031592/14.