Least Common Multiple of 81/36, 87/68, 36/14, 49/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/36, 87/68, 36/14, 49/480 quickly i.e. 230202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/36, 87/68, 36/14, 49/480 is 230202.

LCM(81/36, 87/68, 36/14, 49/480) = 230202

LCM of 81/36, 87/68, 36/14, 49/480

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 81/36,87/68,36/14,49/480

Given numbers are 81/36,87/68,36/14,49/480

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 81,87,36,49

Least Common Multiple of Numerators i.e. LCM of 81,87,36,49 is 460404.

GCF of Denominators means GCF of 36,68,14,480 as per the given fractions.

GCF of 36,68,14,480 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,87,36,49

LCM of Fractions 81/36,87/68,36/14,49/480 is 230202

3 81, 87, 36, 49
3 27, 29, 12, 49
9, 29, 4, 49

∴ So the LCM of the given numbers is 3 x 3 x 9 x 29 x 4 x 49 = 460404

Least Common Multiple of 81,87,36,49 with GCF Formula

Least Common Multiple of 81,87,36,49 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 81,87,36,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,87,36,49) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(81,87,36,49) x common factors =1 x 27 = 27

LCM(81,87,36,49) = ( 81 × 87 × 36 × 49 ) / 27

LCM(81,87,36,49) = 12430908 / 27

LCM(81,87,36,49) = 460404


Lets's calculate GCF of 36,68,14,480

2 36, 68, 14, 480
18, 34, 7, 240

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 460404/2

Therefore the LCM of Fractions 81/36,87/68,36/14,49/480 is 230202

Greatest Common Factor of 36,68,14,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,68,14,480 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 36,68,14,480 . The biggest common factor number is the GCF number.
So the greatest common factor 36,68,14,480 is 2.


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 81/36, 87/68, 36/14, 49/480

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 81/36, 87/68, 36/14, 49/480?

Answer: LCM of Numerators as per given numbers 81/36, 87/68, 36/14, 49/480 is

LCM of Numerators i.e. for 81,87,36,49 is 460404

GCF of denominators i.e. for 36,68,14,480 is 2.

Thus, LCM of Fractions is 230202.Finally, LCM of Fractions for 81/36, 87/68, 36/14, 49/480 is 230202.