Least Common Multiple of 77/72, 36/65, 68/81, 44/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/72, 36/65, 68/81, 44/164 quickly i.e. 47124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/72, 36/65, 68/81, 44/164 is 47124.

LCM(77/72, 36/65, 68/81, 44/164) = 47124

LCM of 77/72, 36/65, 68/81, 44/164

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 77/72,36/65,68/81,44/164

Given numbers are 77/72,36/65,68/81,44/164

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 77,36,68,44

Least Common Multiple of Numerators i.e. LCM of 77,36,68,44 is 47124.

GCF of Denominators means GCF of 72,65,81,164 as per the given fractions.

GCF of 72,65,81,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,36,68,44

LCM of Fractions 77/72,36/65,68/81,44/164 is 47124

2 77, 36, 68, 44
2 77, 18, 34, 22
11 77, 9, 17, 11
7, 9, 17, 1

∴ So the LCM of the given numbers is 2 x 2 x 11 x 7 x 9 x 17 x 1 = 47124

Least Common Multiple of 77,36,68,44 with GCF Formula

Least Common Multiple of 77,36,68,44 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 77,36,68,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,36,68,44) = 1

common factors(in case of two or more numbers have common factors) = 176

GCF(77,36,68,44) x common factors =1 x 176 = 176

LCM(77,36,68,44) = ( 77 × 36 × 68 × 44 ) / 176

LCM(77,36,68,44) = 8293824 / 176

LCM(77,36,68,44) = 47124


Lets's calculate GCF of 72,65,81,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47124/1

Therefore the LCM of Fractions 77/72,36/65,68/81,44/164 is 47124

Greatest Common Factor of 72,65,81,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,65,81,164 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

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

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 72,65,81,164 . The biggest common factor number is the GCF number.
So the greatest common factor 72,65,81,164 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 77/72, 36/65, 68/81, 44/164

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 77/72, 36/65, 68/81, 44/164?

Answer: LCM of Numerators as per given numbers 77/72, 36/65, 68/81, 44/164 is

LCM of Numerators i.e. for 77,36,68,44 is 47124

GCF of denominators i.e. for 72,65,81,164 is 1.

Thus, LCM of Fractions is 47124.Finally, LCM of Fractions for 77/72, 36/65, 68/81, 44/164 is 47124.