Least Common Multiple of 144/505, 585/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/505, 585/725 quickly i.e. 1872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/505, 585/725 is 1872.

LCM(144/505, 585/725) = 1872

LCM of 144/505, 585/725

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 144/505,585/725

Given numbers are 144/505,585/725

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 144,585

Least Common Multiple of Numerators i.e. LCM of 144,585 is 9360.

GCF of Denominators means GCF of 505,725 as per the given fractions.

GCF of 505,725 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,585

LCM of Fractions 144/505,585/725 is 1872

3 144, 585
3 48, 195
16, 65

∴ So the LCM of the given numbers is 3 x 3 x 16 x 65 = 9360

Least Common Multiple of 144,585 with GCF Formula

Least Common Multiple of 144,585 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 144,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,585) = 9

common factors(in case of two or more numbers have common factors) = 1

GCF(144,585) x common factors =9 x 1 = 9

LCM(144,585) = ( 144 × 585 ) / 9

LCM(144,585) = 84240 / 9

LCM(144,585) = 9360


Lets's calculate GCF of 505,725

5 505, 725
101, 145

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9360/5

Therefore the LCM of Fractions 144/505,585/725 is 1872

Greatest Common Factor of 505,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,725 By Matching Biggest Common Factor Method

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 505,725 . The biggest common factor number is the GCF number.
So the greatest common factor 505,725 is 5.


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 144/505, 585/725

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 144/505, 585/725?

Answer: LCM of Numerators as per given numbers 144/505, 585/725 is

LCM of Numerators i.e. for 144,585 is 9360

GCF of denominators i.e. for 505,725 is 5.

Thus, LCM of Fractions is 1872.Finally, LCM of Fractions for 144/505, 585/725 is 1872.