Least Common Multiple of 89/171, 47/112, 395/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/171, 47/112, 395/561 quickly i.e. 1652285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/171, 47/112, 395/561 is 1652285.

LCM(89/171, 47/112, 395/561) = 1652285

LCM of 89/171, 47/112, 395/561

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 89/171,47/112,395/561

Given numbers are 89/171,47/112,395/561

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 89,47,395

Least Common Multiple of Numerators i.e. LCM of 89,47,395 is 1652285.

GCF of Denominators means GCF of 171,112,561 as per the given fractions.

GCF of 171,112,561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,47,395

LCM of Fractions 89/171,47/112,395/561 is 1652285

Given numbers has no common factors except 1. So, there LCM is their product i.e 1652285

Least Common Multiple of 89,47,395 with GCF Formula

Least Common Multiple of 89,47,395 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 89,47,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,47,395) = 1

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

GCF(89,47,395) x common factors =1 x 1 = 1

LCM(89,47,395) = ( 89 × 47 × 395 ) / 1

LCM(89,47,395) = 1652285 / 1

LCM(89,47,395) = 1652285


Lets's calculate GCF of 171,112,561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1652285/1

Therefore the LCM of Fractions 89/171,47/112,395/561 is 1652285

Greatest Common Factor of 171,112,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,112,561 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 561

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

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

Greatest Common Factor

We found the factors 171,112,561 . The biggest common factor number is the GCF number.
So the greatest common factor 171,112,561 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 89/171, 47/112, 395/561

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 89/171, 47/112, 395/561?

Answer: LCM of Numerators as per given numbers 89/171, 47/112, 395/561 is

LCM of Numerators i.e. for 89,47,395 is 1652285

GCF of denominators i.e. for 171,112,561 is 1.

Thus, LCM of Fractions is 1652285.Finally, LCM of Fractions for 89/171, 47/112, 395/561 is 1652285.