Least Common Multiple of 41/74, 81/44, 155/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 41/74, 81/44, 155/241 quickly i.e. 514755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/74, 81/44, 155/241 is 514755.

LCM(41/74, 81/44, 155/241) = 514755

LCM of 41/74, 81/44, 155/241

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 41/74,81/44,155/241

Given numbers are 41/74,81/44,155/241

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 41,81,155

Least Common Multiple of Numerators i.e. LCM of 41,81,155 is 514755.

GCF of Denominators means GCF of 74,44,241 as per the given fractions.

GCF of 74,44,241 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,81,155

LCM of Fractions 41/74,81/44,155/241 is 514755

Given numbers has no common factors except 1. So, there LCM is their product i.e 514755

Least Common Multiple of 41,81,155 with GCF Formula

Least Common Multiple of 41,81,155 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 41,81,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,81,155) = 1

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

GCF(41,81,155) x common factors =1 x 1 = 1

LCM(41,81,155) = ( 41 × 81 × 155 ) / 1

LCM(41,81,155) = 514755 / 1

LCM(41,81,155) = 514755


Lets's calculate GCF of 74,44,241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 514755/1

Therefore the LCM of Fractions 41/74,81/44,155/241 is 514755

Greatest Common Factor of 74,44,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,44,241 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Greatest Common Factor

We found the factors 74,44,241 . The biggest common factor number is the GCF number.
So the greatest common factor 74,44,241 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 41/74, 81/44, 155/241

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 41/74, 81/44, 155/241?

Answer: LCM of Numerators as per given numbers 41/74, 81/44, 155/241 is

LCM of Numerators i.e. for 41,81,155 is 514755

GCF of denominators i.e. for 74,44,241 is 1.

Thus, LCM of Fractions is 514755.Finally, LCM of Fractions for 41/74, 81/44, 155/241 is 514755.