Least Common Multiple of 720/27, 147/45, 144/35

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 720/27, 147/45, 144/35 quickly i.e. 35280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 720/27, 147/45, 144/35 is 35280.

LCM(720/27, 147/45, 144/35) = 35280

LCM of 720/27, 147/45, 144/35

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 720/27,147/45,144/35

Given numbers are 720/27,147/45,144/35

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 720,147,144

Least Common Multiple of Numerators i.e. LCM of 720,147,144 is 35280.

GCF of Denominators means GCF of 27,45,35 as per the given fractions.

GCF of 27,45,35 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 720,147,144

LCM of Fractions 720/27,147/45,144/35 is 35280

2 720, 147, 144
2 360, 147, 72
2 180, 147, 36
2 90, 147, 18
3 45, 147, 9
3 15, 49, 3
5, 49, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 5 x 49 x 1 = 35280

Least Common Multiple of 720,147,144 with GCF Formula

Least Common Multiple of 720,147,144 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 720,147,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,147,144) = 3

common factors(in case of two or more numbers have common factors) = 144

GCF(720,147,144) x common factors =3 x 144 = 432

LCM(720,147,144) = ( 720 × 147 × 144 ) / 432

LCM(720,147,144) = 15240960 / 432

LCM(720,147,144) = 35280


Lets's calculate GCF of 27,45,35

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35280/1

Therefore the LCM of Fractions 720/27,147/45,144/35 is 35280

Greatest Common Factor of 27,45,35 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,45,35 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Greatest Common Factor

We found the factors 27,45,35 . The biggest common factor number is the GCF number.
So the greatest common factor 27,45,35 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 720/27, 147/45, 144/35

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 720/27, 147/45, 144/35?

Answer: LCM of Numerators as per given numbers 720/27, 147/45, 144/35 is

LCM of Numerators i.e. for 720,147,144 is 35280

GCF of denominators i.e. for 27,45,35 is 1.

Thus, LCM of Fractions is 35280.Finally, LCM of Fractions for 720/27, 147/45, 144/35 is 35280.