Least Common Multiple of 176/54, 540/60, 872/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 176/54, 540/60, 872/585 quickly i.e. 863280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 176/54, 540/60, 872/585 is 863280.

LCM(176/54, 540/60, 872/585) = 863280

LCM of 176/54, 540/60, 872/585

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 176/54,540/60,872/585

Given numbers are 176/54,540/60,872/585

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 176,540,872

Least Common Multiple of Numerators i.e. LCM of 176,540,872 is 2589840.

GCF of Denominators means GCF of 54,60,585 as per the given fractions.

GCF of 54,60,585 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 176,540,872

LCM of Fractions 176/54,540/60,872/585 is 863280

2 176, 540, 872
2 88, 270, 436
2 44, 135, 218
22, 135, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 22 x 135 x 109 = 2589840

Least Common Multiple of 176,540,872 with GCF Formula

Least Common Multiple of 176,540,872 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 176,540,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,540,872) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(176,540,872) x common factors =4 x 8 = 32

LCM(176,540,872) = ( 176 × 540 × 872 ) / 32

LCM(176,540,872) = 82874880 / 32

LCM(176,540,872) = 2589840


Lets's calculate GCF of 54,60,585

3 54, 60, 585
18, 20, 195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2589840/3

Therefore the LCM of Fractions 176/54,540/60,872/585 is 863280

Greatest Common Factor of 54,60,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,60,585 By Matching Biggest Common Factor Method

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 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 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 54,60,585 . The biggest common factor number is the GCF number.
So the greatest common factor 54,60,585 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 176/54, 540/60, 872/585

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 176/54, 540/60, 872/585?

Answer: LCM of Numerators as per given numbers 176/54, 540/60, 872/585 is

LCM of Numerators i.e. for 176,540,872 is 2589840

GCF of denominators i.e. for 54,60,585 is 3.

Thus, LCM of Fractions is 863280.Finally, LCM of Fractions for 176/54, 540/60, 872/585 is 863280.