Least Common Multiple of 7304/423, 9165/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7304/423, 9165/335 quickly i.e. 66941160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7304/423, 9165/335 is 66941160.

LCM(7304/423, 9165/335) = 66941160

LCM of 7304/423, 9165/335

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 7304/423,9165/335

Given numbers are 7304/423,9165/335

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 7304,9165

Least Common Multiple of Numerators i.e. LCM of 7304,9165 is 66941160.

GCF of Denominators means GCF of 423,335 as per the given fractions.

GCF of 423,335 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7304,9165

LCM of Fractions 7304/423,9165/335 is 66941160

Given numbers has no common factors except 1. So, there LCM is their product i.e 66941160

Least Common Multiple of 7304,9165 with GCF Formula

Least Common Multiple of 7304,9165 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 7304,9165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7304,9165) = 1

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

GCF(7304,9165) x common factors =1 x 1 = 1

LCM(7304,9165) = ( 7304 × 9165 ) / 1

LCM(7304,9165) = 66941160 / 1

LCM(7304,9165) = 66941160


Lets's calculate GCF of 423,335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66941160/1

Therefore the LCM of Fractions 7304/423,9165/335 is 66941160

Greatest Common Factor of 423,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,335 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors 423,335 . The biggest common factor number is the GCF number.
So the greatest common factor 423,335 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7304/423, 9165/335

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 7304/423, 9165/335?

Answer: LCM of Numerators as per given numbers 7304/423, 9165/335 is

LCM of Numerators i.e. for 7304,9165 is 66941160

GCF of denominators i.e. for 423,335 is 1.

Thus, LCM of Fractions is 66941160.Finally, LCM of Fractions for 7304/423, 9165/335 is 66941160.