Least Common Multiple of 51/80, 45/54, 178/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/80, 45/54, 178/512 quickly i.e. 68085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/80, 45/54, 178/512 is 68085.

LCM(51/80, 45/54, 178/512) = 68085

LCM of 51/80, 45/54, 178/512

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 51/80,45/54,178/512

Given numbers are 51/80,45/54,178/512

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 51,45,178

Least Common Multiple of Numerators i.e. LCM of 51,45,178 is 136170.

GCF of Denominators means GCF of 80,54,512 as per the given fractions.

GCF of 80,54,512 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,45,178

LCM of Fractions 51/80,45/54,178/512 is 68085

3 51, 45, 178
17, 15, 178

∴ So the LCM of the given numbers is 3 x 17 x 15 x 178 = 136170

Least Common Multiple of 51,45,178 with GCF Formula

Least Common Multiple of 51,45,178 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 51,45,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,45,178) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,45,178) x common factors =1 x 3 = 3

LCM(51,45,178) = ( 51 × 45 × 178 ) / 3

LCM(51,45,178) = 408510 / 3

LCM(51,45,178) = 136170


Lets's calculate GCF of 80,54,512

2 80, 54, 512
40, 27, 256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136170/2

Therefore the LCM of Fractions 51/80,45/54,178/512 is 68085

Greatest Common Factor of 80,54,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,54,512 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 80,54,512 . The biggest common factor number is the GCF number.
So the greatest common factor 80,54,512 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 51/80, 45/54, 178/512

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 51/80, 45/54, 178/512?

Answer: LCM of Numerators as per given numbers 51/80, 45/54, 178/512 is

LCM of Numerators i.e. for 51,45,178 is 136170

GCF of denominators i.e. for 80,54,512 is 2.

Thus, LCM of Fractions is 68085.Finally, LCM of Fractions for 51/80, 45/54, 178/512 is 68085.