Least Common Multiple of 179/75, 216/81, 624/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 179/75, 216/81, 624/495 quickly i.e. 335088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 179/75, 216/81, 624/495 is 335088.

LCM(179/75, 216/81, 624/495) = 335088

LCM of 179/75, 216/81, 624/495

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 179/75,216/81,624/495

Given numbers are 179/75,216/81,624/495

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 179,216,624

Least Common Multiple of Numerators i.e. LCM of 179,216,624 is 1005264.

GCF of Denominators means GCF of 75,81,495 as per the given fractions.

GCF of 75,81,495 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 179,216,624

LCM of Fractions 179/75,216/81,624/495 is 335088

2 179, 216, 624
2 179, 108, 312
2 179, 54, 156
3 179, 27, 78
179, 9, 26

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 179 x 9 x 26 = 1005264

Least Common Multiple of 179,216,624 with GCF Formula

Least Common Multiple of 179,216,624 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 179,216,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,216,624) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(179,216,624) x common factors =1 x 24 = 24

LCM(179,216,624) = ( 179 × 216 × 624 ) / 24

LCM(179,216,624) = 24126336 / 24

LCM(179,216,624) = 1005264


Lets's calculate GCF of 75,81,495

3 75, 81, 495
25, 27, 165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1005264/3

Therefore the LCM of Fractions 179/75,216/81,624/495 is 335088

Greatest Common Factor of 75,81,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,81,495 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 81

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

1,3,9,27,81

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 75,81,495 . The biggest common factor number is the GCF number.
So the greatest common factor 75,81,495 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 179/75, 216/81, 624/495

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 179/75, 216/81, 624/495?

Answer: LCM of Numerators as per given numbers 179/75, 216/81, 624/495 is

LCM of Numerators i.e. for 179,216,624 is 1005264

GCF of denominators i.e. for 75,81,495 is 3.

Thus, LCM of Fractions is 335088.Finally, LCM of Fractions for 179/75, 216/81, 624/495 is 335088.