Least Common Multiple of 93/180, 741/519, 885/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 93/180, 741/519, 885/360 quickly i.e. 2258815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/180, 741/519, 885/360 is 2258815.

LCM(93/180, 741/519, 885/360) = 2258815

LCM of 93/180, 741/519, 885/360

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 93/180,741/519,885/360

Given numbers are 93/180,741/519,885/360

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 93,741,885

Least Common Multiple of Numerators i.e. LCM of 93,741,885 is 6776445.

GCF of Denominators means GCF of 180,519,360 as per the given fractions.

GCF of 180,519,360 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,741,885

LCM of Fractions 93/180,741/519,885/360 is 2258815

3 93, 741, 885
31, 247, 295

∴ So the LCM of the given numbers is 3 x 31 x 247 x 295 = 6776445

Least Common Multiple of 93,741,885 with GCF Formula

Least Common Multiple of 93,741,885 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 93,741,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,741,885) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(93,741,885) x common factors =3 x 3 = 9

LCM(93,741,885) = ( 93 × 741 × 885 ) / 9

LCM(93,741,885) = 60988005 / 9

LCM(93,741,885) = 6776445


Lets's calculate GCF of 180,519,360

3 180, 519, 360
60, 173, 120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6776445/3

Therefore the LCM of Fractions 93/180,741/519,885/360 is 2258815

Greatest Common Factor of 180,519,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,519,360 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 180,519,360 . The biggest common factor number is the GCF number.
So the greatest common factor 180,519,360 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 93/180, 741/519, 885/360

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 93/180, 741/519, 885/360?

Answer: LCM of Numerators as per given numbers 93/180, 741/519, 885/360 is

LCM of Numerators i.e. for 93,741,885 is 6776445

GCF of denominators i.e. for 180,519,360 is 3.

Thus, LCM of Fractions is 2258815.Finally, LCM of Fractions for 93/180, 741/519, 885/360 is 2258815.