Least Common Multiple of 164/60, 873/81, 256/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 164/60, 873/81, 256/156 quickly i.e. 3054336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 164/60, 873/81, 256/156 is 3054336.

LCM(164/60, 873/81, 256/156) = 3054336

LCM of 164/60, 873/81, 256/156

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 164/60,873/81,256/156

Given numbers are 164/60,873/81,256/156

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 164,873,256

Least Common Multiple of Numerators i.e. LCM of 164,873,256 is 9163008.

GCF of Denominators means GCF of 60,81,156 as per the given fractions.

GCF of 60,81,156 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 164,873,256

LCM of Fractions 164/60,873/81,256/156 is 3054336

2 164, 873, 256
2 82, 873, 128
41, 873, 64

∴ So the LCM of the given numbers is 2 x 2 x 41 x 873 x 64 = 9163008

Least Common Multiple of 164,873,256 with GCF Formula

Least Common Multiple of 164,873,256 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 164,873,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,873,256) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(164,873,256) x common factors =1 x 4 = 4

LCM(164,873,256) = ( 164 × 873 × 256 ) / 4

LCM(164,873,256) = 36652032 / 4

LCM(164,873,256) = 9163008


Lets's calculate GCF of 60,81,156

3 60, 81, 156
20, 27, 52

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9163008/3

Therefore the LCM of Fractions 164/60,873/81,256/156 is 3054336

Greatest Common Factor of 60,81,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,81,156 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 81

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

1,3,9,27,81

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 60,81,156 . The biggest common factor number is the GCF number.
So the greatest common factor 60,81,156 is 3.


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 164/60, 873/81, 256/156

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 164/60, 873/81, 256/156?

Answer: LCM of Numerators as per given numbers 164/60, 873/81, 256/156 is

LCM of Numerators i.e. for 164,873,256 is 9163008

GCF of denominators i.e. for 60,81,156 is 3.

Thus, LCM of Fractions is 3054336.Finally, LCM of Fractions for 164/60, 873/81, 256/156 is 3054336.