Least Common Multiple of 3/41, 17/164, 85/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/41, 17/164, 85/330 quickly i.e. 255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/41, 17/164, 85/330 is 255.

LCM(3/41, 17/164, 85/330) = 255

LCM of 3/41, 17/164, 85/330

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 3/41,17/164,85/330

Given numbers are 3/41,17/164,85/330

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 3,17,85

Least Common Multiple of Numerators i.e. LCM of 3,17,85 is 255.

GCF of Denominators means GCF of 41,164,330 as per the given fractions.

GCF of 41,164,330 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,17,85

LCM of Fractions 3/41,17/164,85/330 is 255

17 3, 17, 85
3, 1, 5

∴ So the LCM of the given numbers is 17 x 3 x 1 x 5 = 255

Least Common Multiple of 3,17,85 with GCF Formula

Least Common Multiple of 3,17,85 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 3,17,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,17,85) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(3,17,85) x common factors =1 x 17 = 17

LCM(3,17,85) = ( 3 × 17 × 85 ) / 17

LCM(3,17,85) = 4335 / 17

LCM(3,17,85) = 255


Lets's calculate GCF of 41,164,330

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255/1

Therefore the LCM of Fractions 3/41,17/164,85/330 is 255

Greatest Common Factor of 41,164,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,164,330 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 41,164,330 . The biggest common factor number is the GCF number.
So the greatest common factor 41,164,330 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 3/41, 17/164, 85/330

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 3/41, 17/164, 85/330?

Answer: LCM of Numerators as per given numbers 3/41, 17/164, 85/330 is

LCM of Numerators i.e. for 3,17,85 is 255

GCF of denominators i.e. for 41,164,330 is 1.

Thus, LCM of Fractions is 255.Finally, LCM of Fractions for 3/41, 17/164, 85/330 is 255.