Least Common Multiple of 2/15, 3/25, 32/16, 81/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2/15, 3/25, 32/16, 81/961 quickly i.e. 2592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2/15, 3/25, 32/16, 81/961 is 2592.

LCM(2/15, 3/25, 32/16, 81/961) = 2592

LCM of 2/15, 3/25, 32/16, 81/961

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 2/15,3/25,32/16,81/961

Given numbers are 2/15,3/25,32/16,81/961

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 2,3,32,81

Least Common Multiple of Numerators i.e. LCM of 2,3,32,81 is 2592.

GCF of Denominators means GCF of 15,25,16,961 as per the given fractions.

GCF of 15,25,16,961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,3,32,81

LCM of Fractions 2/15,3/25,32/16,81/961 is 2592

2 2, 3, 32, 81
3 1, 3, 16, 81
1, 1, 16, 27

∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 16 x 27 = 2592

Least Common Multiple of 2,3,32,81 with GCF Formula

Least Common Multiple of 2,3,32,81 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 2,3,32,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,3,32,81) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(2,3,32,81) x common factors =1 x 6 = 6

LCM(2,3,32,81) = ( 2 × 3 × 32 × 81 ) / 6

LCM(2,3,32,81) = 15552 / 6

LCM(2,3,32,81) = 2592


Lets's calculate GCF of 15,25,16,961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2592/1

Therefore the LCM of Fractions 2/15,3/25,32/16,81/961 is 2592

Greatest Common Factor of 15,25,16,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,25,16,961 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 15,25,16,961 . The biggest common factor number is the GCF number.
So the greatest common factor 15,25,16,961 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 2/15, 3/25, 32/16, 81/961

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 2/15, 3/25, 32/16, 81/961?

Answer: LCM of Numerators as per given numbers 2/15, 3/25, 32/16, 81/961 is

LCM of Numerators i.e. for 2,3,32,81 is 2592

GCF of denominators i.e. for 15,25,16,961 is 1.

Thus, LCM of Fractions is 2592.Finally, LCM of Fractions for 2/15, 3/25, 32/16, 81/961 is 2592.