Least Common Multiple of 12/41, 99/60, 16/89, 71/607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/41, 99/60, 16/89, 71/607 quickly i.e. 112464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/41, 99/60, 16/89, 71/607 is 112464.

LCM(12/41, 99/60, 16/89, 71/607) = 112464

LCM of 12/41, 99/60, 16/89, 71/607

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 12/41,99/60,16/89,71/607

Given numbers are 12/41,99/60,16/89,71/607

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 12,99,16,71

Least Common Multiple of Numerators i.e. LCM of 12,99,16,71 is 112464.

GCF of Denominators means GCF of 41,60,89,607 as per the given fractions.

GCF of 41,60,89,607 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,99,16,71

LCM of Fractions 12/41,99/60,16/89,71/607 is 112464

2 12, 99, 16, 71
2 6, 99, 8, 71
3 3, 99, 4, 71
1, 33, 4, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 33 x 4 x 71 = 112464

Least Common Multiple of 12,99,16,71 with GCF Formula

Least Common Multiple of 12,99,16,71 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 12,99,16,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,99,16,71) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(12,99,16,71) x common factors =1 x 12 = 12

LCM(12,99,16,71) = ( 12 × 99 × 16 × 71 ) / 12

LCM(12,99,16,71) = 1349568 / 12

LCM(12,99,16,71) = 112464


Lets's calculate GCF of 41,60,89,607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112464/1

Therefore the LCM of Fractions 12/41,99/60,16/89,71/607 is 112464

Greatest Common Factor of 41,60,89,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,60,89,607 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 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 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Greatest Common Factor

We found the factors 41,60,89,607 . The biggest common factor number is the GCF number.
So the greatest common factor 41,60,89,607 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 12/41, 99/60, 16/89, 71/607

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 12/41, 99/60, 16/89, 71/607?

Answer: LCM of Numerators as per given numbers 12/41, 99/60, 16/89, 71/607 is

LCM of Numerators i.e. for 12,99,16,71 is 112464

GCF of denominators i.e. for 41,60,89,607 is 1.

Thus, LCM of Fractions is 112464.Finally, LCM of Fractions for 12/41, 99/60, 16/89, 71/607 is 112464.