Least Common Multiple of 81/84, 72/61, 48/51, 66/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/84, 72/61, 48/51, 66/115 quickly i.e. 14256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/84, 72/61, 48/51, 66/115 is 14256.

LCM(81/84, 72/61, 48/51, 66/115) = 14256

LCM of 81/84, 72/61, 48/51, 66/115

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 81/84,72/61,48/51,66/115

Given numbers are 81/84,72/61,48/51,66/115

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 81,72,48,66

Least Common Multiple of Numerators i.e. LCM of 81,72,48,66 is 14256.

GCF of Denominators means GCF of 84,61,51,115 as per the given fractions.

GCF of 84,61,51,115 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,72,48,66

LCM of Fractions 81/84,72/61,48/51,66/115 is 14256

2 81, 72, 48, 66
2 81, 36, 24, 33
2 81, 18, 12, 33
3 81, 9, 6, 33
3 27, 3, 2, 11
9, 1, 2, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 9 x 1 x 2 x 11 = 14256

Least Common Multiple of 81,72,48,66 with GCF Formula

Least Common Multiple of 81,72,48,66 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 81,72,48,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,72,48,66) = 3

common factors(in case of two or more numbers have common factors) = 432

GCF(81,72,48,66) x common factors =3 x 432 = 1296

LCM(81,72,48,66) = ( 81 × 72 × 48 × 66 ) / 1296

LCM(81,72,48,66) = 18475776 / 1296

LCM(81,72,48,66) = 14256


Lets's calculate GCF of 84,61,51,115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14256/1

Therefore the LCM of Fractions 81/84,72/61,48/51,66/115 is 14256

Greatest Common Factor of 84,61,51,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,61,51,115 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 84,61,51,115 . The biggest common factor number is the GCF number.
So the greatest common factor 84,61,51,115 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 81/84, 72/61, 48/51, 66/115

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 81/84, 72/61, 48/51, 66/115?

Answer: LCM of Numerators as per given numbers 81/84, 72/61, 48/51, 66/115 is

LCM of Numerators i.e. for 81,72,48,66 is 14256

GCF of denominators i.e. for 84,61,51,115 is 1.

Thus, LCM of Fractions is 14256.Finally, LCM of Fractions for 81/84, 72/61, 48/51, 66/115 is 14256.