Least Common Multiple of 576/66, 141/4160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 576/66, 141/4160 quickly i.e. 13536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 576/66, 141/4160 is 13536.

LCM(576/66, 141/4160) = 13536

LCM of 576/66, 141/4160

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 576/66,141/4160

Given numbers are 576/66,141/4160

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 576,141

Least Common Multiple of Numerators i.e. LCM of 576,141 is 27072.

GCF of Denominators means GCF of 66,4160 as per the given fractions.

GCF of 66,4160 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 576,141

LCM of Fractions 576/66,141/4160 is 13536

3 576, 141
192, 47

∴ So the LCM of the given numbers is 3 x 192 x 47 = 27072

Least Common Multiple of 576,141 with GCF Formula

Least Common Multiple of 576,141 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 576,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,141) = 3

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

GCF(576,141) x common factors =3 x 1 = 3

LCM(576,141) = ( 576 × 141 ) / 3

LCM(576,141) = 81216 / 3

LCM(576,141) = 27072


Lets's calculate GCF of 66,4160

2 66, 4160
33, 2080

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27072/2

Therefore the LCM of Fractions 576/66,141/4160 is 13536

Greatest Common Factor of 66,4160 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,4160 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 4160

List of positive integer factors of 4160 that divides 4160 without a remainder.

1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,130,160,208,260,320,416,520,832,1040,2080,4160

Greatest Common Factor

We found the factors 66,4160 . The biggest common factor number is the GCF number.
So the greatest common factor 66,4160 is 2.


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 576/66, 141/4160

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 576/66, 141/4160?

Answer: LCM of Numerators as per given numbers 576/66, 141/4160 is

LCM of Numerators i.e. for 576,141 is 27072

GCF of denominators i.e. for 66,4160 is 2.

Thus, LCM of Fractions is 13536.Finally, LCM of Fractions for 576/66, 141/4160 is 13536.