Least Common Multiple of 39/665, 69/270, 180/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 39/665, 69/270, 180/488 quickly i.e. 53820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/665, 69/270, 180/488 is 53820.

LCM(39/665, 69/270, 180/488) = 53820

LCM of 39/665, 69/270, 180/488

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 39/665,69/270,180/488

Given numbers are 39/665,69/270,180/488

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 39,69,180

Least Common Multiple of Numerators i.e. LCM of 39,69,180 is 53820.

GCF of Denominators means GCF of 665,270,488 as per the given fractions.

GCF of 665,270,488 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,69,180

LCM of Fractions 39/665,69/270,180/488 is 53820

3 39, 69, 180
13, 23, 60

∴ So the LCM of the given numbers is 3 x 13 x 23 x 60 = 53820

Least Common Multiple of 39,69,180 with GCF Formula

Least Common Multiple of 39,69,180 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 39,69,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,69,180) = 3

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

GCF(39,69,180) x common factors =3 x 3 = 9

LCM(39,69,180) = ( 39 × 69 × 180 ) / 9

LCM(39,69,180) = 484380 / 9

LCM(39,69,180) = 53820


Lets's calculate GCF of 665,270,488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53820/1

Therefore the LCM of Fractions 39/665,69/270,180/488 is 53820

Greatest Common Factor of 665,270,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,270,488 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 665,270,488 . The biggest common factor number is the GCF number.
So the greatest common factor 665,270,488 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 39/665, 69/270, 180/488

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 39/665, 69/270, 180/488?

Answer: LCM of Numerators as per given numbers 39/665, 69/270, 180/488 is

LCM of Numerators i.e. for 39,69,180 is 53820

GCF of denominators i.e. for 665,270,488 is 1.

Thus, LCM of Fractions is 53820.Finally, LCM of Fractions for 39/665, 69/270, 180/488 is 53820.