Least Common Multiple of 230/72, 242/65, 464/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 230/72, 242/65, 464/488 quickly i.e. 6456560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 230/72, 242/65, 464/488 is 6456560.

LCM(230/72, 242/65, 464/488) = 6456560

LCM of 230/72, 242/65, 464/488

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 230/72,242/65,464/488

Given numbers are 230/72,242/65,464/488

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 230,242,464

Least Common Multiple of Numerators i.e. LCM of 230,242,464 is 6456560.

GCF of Denominators means GCF of 72,65,488 as per the given fractions.

GCF of 72,65,488 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 230,242,464

LCM of Fractions 230/72,242/65,464/488 is 6456560

2 230, 242, 464
115, 121, 232

∴ So the LCM of the given numbers is 2 x 115 x 121 x 232 = 6456560

Least Common Multiple of 230,242,464 with GCF Formula

Least Common Multiple of 230,242,464 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 230,242,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,242,464) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(230,242,464) x common factors =2 x 2 = 4

LCM(230,242,464) = ( 230 × 242 × 464 ) / 4

LCM(230,242,464) = 25826240 / 4

LCM(230,242,464) = 6456560


Lets's calculate GCF of 72,65,488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6456560/1

Therefore the LCM of Fractions 230/72,242/65,464/488 is 6456560

Greatest Common Factor of 72,65,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,65,488 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

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 72,65,488 . The biggest common factor number is the GCF number.
So the greatest common factor 72,65,488 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 230/72, 242/65, 464/488

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 230/72, 242/65, 464/488?

Answer: LCM of Numerators as per given numbers 230/72, 242/65, 464/488 is

LCM of Numerators i.e. for 230,242,464 is 6456560

GCF of denominators i.e. for 72,65,488 is 1.

Thus, LCM of Fractions is 6456560.Finally, LCM of Fractions for 230/72, 242/65, 464/488 is 6456560.