Least Common Multiple of 41/360, 44/369, 889/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/360, 44/369, 889/195 quickly i.e. 1603756/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/360, 44/369, 889/195 is 1603756/3.

LCM(41/360, 44/369, 889/195) = 1603756/3

LCM of 41/360, 44/369, 889/195

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 41/360,44/369,889/195

Given numbers are 41/360,44/369,889/195

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 41,44,889

Least Common Multiple of Numerators i.e. LCM of 41,44,889 is 1603756.

GCF of Denominators means GCF of 360,369,195 as per the given fractions.

GCF of 360,369,195 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,44,889

LCM of Fractions 41/360,44/369,889/195 is 1603756/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 1603756

Least Common Multiple of 41,44,889 with GCF Formula

Least Common Multiple of 41,44,889 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 41,44,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,44,889) = 1

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

GCF(41,44,889) x common factors =1 x 1 = 1

LCM(41,44,889) = ( 41 × 44 × 889 ) / 1

LCM(41,44,889) = 1603756 / 1

LCM(41,44,889) = 1603756


Lets's calculate GCF of 360,369,195

3 360, 369, 195
120, 123, 65

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1603756/3

Therefore the LCM of Fractions 41/360,44/369,889/195 is 1603756/3

Greatest Common Factor of 360,369,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,369,195 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 360,369,195 . The biggest common factor number is the GCF number.
So the greatest common factor 360,369,195 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 41/360, 44/369, 889/195

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 41/360, 44/369, 889/195?

Answer: LCM of Numerators as per given numbers 41/360, 44/369, 889/195 is

LCM of Numerators i.e. for 41,44,889 is 1603756

GCF of denominators i.e. for 360,369,195 is 3.

Thus, LCM of Fractions is 1603756/3.Finally, LCM of Fractions for 41/360, 44/369, 889/195 is 1603756/3.