Least Common Multiple of 75/134, 360/860, 723/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/134, 360/860, 723/729 quickly i.e. 433800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/134, 360/860, 723/729 is 433800.

LCM(75/134, 360/860, 723/729) = 433800

LCM of 75/134, 360/860, 723/729

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 75/134,360/860,723/729

Given numbers are 75/134,360/860,723/729

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 75,360,723

Least Common Multiple of Numerators i.e. LCM of 75,360,723 is 433800.

GCF of Denominators means GCF of 134,860,729 as per the given fractions.

GCF of 134,860,729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,360,723

LCM of Fractions 75/134,360/860,723/729 is 433800

3 75, 360, 723
5 25, 120, 241
5, 24, 241

∴ So the LCM of the given numbers is 3 x 5 x 5 x 24 x 241 = 433800

Least Common Multiple of 75,360,723 with GCF Formula

Least Common Multiple of 75,360,723 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 75,360,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,360,723) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(75,360,723) x common factors =3 x 15 = 45

LCM(75,360,723) = ( 75 × 360 × 723 ) / 45

LCM(75,360,723) = 19521000 / 45

LCM(75,360,723) = 433800


Lets's calculate GCF of 134,860,729

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 433800/1

Therefore the LCM of Fractions 75/134,360/860,723/729 is 433800

Greatest Common Factor of 134,860,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,860,729 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 134,860,729 . The biggest common factor number is the GCF number.
So the greatest common factor 134,860,729 is 1.


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 75/134, 360/860, 723/729

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 75/134, 360/860, 723/729?

Answer: LCM of Numerators as per given numbers 75/134, 360/860, 723/729 is

LCM of Numerators i.e. for 75,360,723 is 433800

GCF of denominators i.e. for 134,860,729 is 1.

Thus, LCM of Fractions is 433800.Finally, LCM of Fractions for 75/134, 360/860, 723/729 is 433800.