Least Common Multiple of 180/13, 603/30, 771/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 180/13, 603/30, 771/24 quickly i.e. 3099420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 180/13, 603/30, 771/24 is 3099420.

LCM(180/13, 603/30, 771/24) = 3099420

LCM of 180/13, 603/30, 771/24

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 180/13,603/30,771/24

Given numbers are 180/13,603/30,771/24

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 180,603,771

Least Common Multiple of Numerators i.e. LCM of 180,603,771 is 3099420.

GCF of Denominators means GCF of 13,30,24 as per the given fractions.

GCF of 13,30,24 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 180,603,771

LCM of Fractions 180/13,603/30,771/24 is 3099420

3 180, 603, 771
3 60, 201, 257
20, 67, 257

∴ So the LCM of the given numbers is 3 x 3 x 20 x 67 x 257 = 3099420

Least Common Multiple of 180,603,771 with GCF Formula

Least Common Multiple of 180,603,771 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 180,603,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,603,771) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(180,603,771) x common factors =3 x 9 = 27

LCM(180,603,771) = ( 180 × 603 × 771 ) / 27

LCM(180,603,771) = 83684340 / 27

LCM(180,603,771) = 3099420


Lets's calculate GCF of 13,30,24

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3099420/1

Therefore the LCM of Fractions 180/13,603/30,771/24 is 3099420

Greatest Common Factor of 13,30,24 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,30,24 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Greatest Common Factor

We found the factors 13,30,24 . The biggest common factor number is the GCF number.
So the greatest common factor 13,30,24 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 180/13, 603/30, 771/24

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 180/13, 603/30, 771/24?

Answer: LCM of Numerators as per given numbers 180/13, 603/30, 771/24 is

LCM of Numerators i.e. for 180,603,771 is 3099420

GCF of denominators i.e. for 13,30,24 is 1.

Thus, LCM of Fractions is 3099420.Finally, LCM of Fractions for 180/13, 603/30, 771/24 is 3099420.