Least Common Multiple of 41/75, 30/48, 87/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/75, 30/48, 87/297 quickly i.e. 11890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/75, 30/48, 87/297 is 11890.

LCM(41/75, 30/48, 87/297) = 11890

LCM of 41/75, 30/48, 87/297

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 41/75,30/48,87/297

Given numbers are 41/75,30/48,87/297

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 41,30,87

Least Common Multiple of Numerators i.e. LCM of 41,30,87 is 35670.

GCF of Denominators means GCF of 75,48,297 as per the given fractions.

GCF of 75,48,297 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,30,87

LCM of Fractions 41/75,30/48,87/297 is 11890

3 41, 30, 87
41, 10, 29

∴ So the LCM of the given numbers is 3 x 41 x 10 x 29 = 35670

Least Common Multiple of 41,30,87 with GCF Formula

Least Common Multiple of 41,30,87 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 41,30,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,30,87) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(41,30,87) x common factors =1 x 3 = 3

LCM(41,30,87) = ( 41 × 30 × 87 ) / 3

LCM(41,30,87) = 107010 / 3

LCM(41,30,87) = 35670


Lets's calculate GCF of 75,48,297

3 75, 48, 297
25, 16, 99

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35670/3

Therefore the LCM of Fractions 41/75,30/48,87/297 is 11890

Greatest Common Factor of 75,48,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,48,297 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 75,48,297 . The biggest common factor number is the GCF number.
So the greatest common factor 75,48,297 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 41/75, 30/48, 87/297

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 41/75, 30/48, 87/297?

Answer: LCM of Numerators as per given numbers 41/75, 30/48, 87/297 is

LCM of Numerators i.e. for 41,30,87 is 35670

GCF of denominators i.e. for 75,48,297 is 3.

Thus, LCM of Fractions is 11890.Finally, LCM of Fractions for 41/75, 30/48, 87/297 is 11890.