Least Common Multiple of 38/561, 81/366, 832/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/561, 81/366, 832/143 quickly i.e. 1280448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/561, 81/366, 832/143 is 1280448.

LCM(38/561, 81/366, 832/143) = 1280448

LCM of 38/561, 81/366, 832/143

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 38/561,81/366,832/143

Given numbers are 38/561,81/366,832/143

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 38,81,832

Least Common Multiple of Numerators i.e. LCM of 38,81,832 is 1280448.

GCF of Denominators means GCF of 561,366,143 as per the given fractions.

GCF of 561,366,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,81,832

LCM of Fractions 38/561,81/366,832/143 is 1280448

2 38, 81, 832
19, 81, 416

∴ So the LCM of the given numbers is 2 x 19 x 81 x 416 = 1280448

Least Common Multiple of 38,81,832 with GCF Formula

Least Common Multiple of 38,81,832 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 38,81,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,81,832) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,81,832) x common factors =1 x 2 = 2

LCM(38,81,832) = ( 38 × 81 × 832 ) / 2

LCM(38,81,832) = 2560896 / 2

LCM(38,81,832) = 1280448


Lets's calculate GCF of 561,366,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1280448/1

Therefore the LCM of Fractions 38/561,81/366,832/143 is 1280448

Greatest Common Factor of 561,366,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,366,143 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 561,366,143 . The biggest common factor number is the GCF number.
So the greatest common factor 561,366,143 is 1.


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 38/561, 81/366, 832/143

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 38/561, 81/366, 832/143?

Answer: LCM of Numerators as per given numbers 38/561, 81/366, 832/143 is

LCM of Numerators i.e. for 38,81,832 is 1280448

GCF of denominators i.e. for 561,366,143 is 1.

Thus, LCM of Fractions is 1280448.Finally, LCM of Fractions for 38/561, 81/366, 832/143 is 1280448.