Least Common Multiple of 232/15, 135/9264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 232/15, 135/9264 quickly i.e. 10440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 232/15, 135/9264 is 10440.

LCM(232/15, 135/9264) = 10440

LCM of 232/15, 135/9264

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 232/15,135/9264

Given numbers are 232/15,135/9264

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 232,135

Least Common Multiple of Numerators i.e. LCM of 232,135 is 31320.

GCF of Denominators means GCF of 15,9264 as per the given fractions.

GCF of 15,9264 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 232,135

LCM of Fractions 232/15,135/9264 is 10440

Given numbers has no common factors except 1. So, there LCM is their product i.e 31320

Least Common Multiple of 232,135 with GCF Formula

Least Common Multiple of 232,135 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 232,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,135) = 1

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

GCF(232,135) x common factors =1 x 1 = 1

LCM(232,135) = ( 232 × 135 ) / 1

LCM(232,135) = 31320 / 1

LCM(232,135) = 31320


Lets's calculate GCF of 15,9264

3 15, 9264
5, 3088

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31320/3

Therefore the LCM of Fractions 232/15,135/9264 is 10440

Greatest Common Factor of 15,9264 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,9264 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 9264

List of positive integer factors of 9264 that divides 9264 without a remainder.

1,2,3,4,6,8,12,16,24,48,193,386,579,772,1158,1544,2316,3088,4632,9264

Greatest Common Factor

We found the factors 15,9264 . The biggest common factor number is the GCF number.
So the greatest common factor 15,9264 is 3.


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 232/15, 135/9264

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 232/15, 135/9264?

Answer: LCM of Numerators as per given numbers 232/15, 135/9264 is

LCM of Numerators i.e. for 232,135 is 31320

GCF of denominators i.e. for 15,9264 is 3.

Thus, LCM of Fractions is 10440.Finally, LCM of Fractions for 232/15, 135/9264 is 10440.