Least Common Multiple of 41/99, 472/60, 132/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/99, 472/60, 132/144 quickly i.e. 212872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/99, 472/60, 132/144 is 212872.

LCM(41/99, 472/60, 132/144) = 212872

LCM of 41/99, 472/60, 132/144

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 41/99,472/60,132/144

Given numbers are 41/99,472/60,132/144

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 41,472,132

Least Common Multiple of Numerators i.e. LCM of 41,472,132 is 638616.

GCF of Denominators means GCF of 99,60,144 as per the given fractions.

GCF of 99,60,144 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,472,132

LCM of Fractions 41/99,472/60,132/144 is 212872

2 41, 472, 132
2 41, 236, 66
41, 118, 33

∴ So the LCM of the given numbers is 2 x 2 x 41 x 118 x 33 = 638616

Least Common Multiple of 41,472,132 with GCF Formula

Least Common Multiple of 41,472,132 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 41,472,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,472,132) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(41,472,132) x common factors =1 x 4 = 4

LCM(41,472,132) = ( 41 × 472 × 132 ) / 4

LCM(41,472,132) = 2554464 / 4

LCM(41,472,132) = 638616


Lets's calculate GCF of 99,60,144

3 99, 60, 144
33, 20, 48

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 638616/3

Therefore the LCM of Fractions 41/99,472/60,132/144 is 212872

Greatest Common Factor of 99,60,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,60,144 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 99,60,144 . The biggest common factor number is the GCF number.
So the greatest common factor 99,60,144 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 41/99, 472/60, 132/144

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 41/99, 472/60, 132/144?

Answer: LCM of Numerators as per given numbers 41/99, 472/60, 132/144 is

LCM of Numerators i.e. for 41,472,132 is 638616

GCF of denominators i.e. for 99,60,144 is 3.

Thus, LCM of Fractions is 212872.Finally, LCM of Fractions for 41/99, 472/60, 132/144 is 212872.