Least Common Multiple of 18/439, 460/715, 270/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/439, 460/715, 270/130 quickly i.e. 12420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/439, 460/715, 270/130 is 12420.

LCM(18/439, 460/715, 270/130) = 12420

LCM of 18/439, 460/715, 270/130

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 18/439,460/715,270/130

Given numbers are 18/439,460/715,270/130

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 18,460,270

Least Common Multiple of Numerators i.e. LCM of 18,460,270 is 12420.

GCF of Denominators means GCF of 439,715,130 as per the given fractions.

GCF of 439,715,130 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,460,270

LCM of Fractions 18/439,460/715,270/130 is 12420

2 18, 460, 270
3 9, 230, 135
3 3, 230, 45
5 1, 230, 15
1, 46, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 46 x 3 = 12420

Least Common Multiple of 18,460,270 with GCF Formula

Least Common Multiple of 18,460,270 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 18,460,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,460,270) = 2

common factors(in case of two or more numbers have common factors) = 90

GCF(18,460,270) x common factors =2 x 90 = 180

LCM(18,460,270) = ( 18 × 460 × 270 ) / 180

LCM(18,460,270) = 2235600 / 180

LCM(18,460,270) = 12420


Lets's calculate GCF of 439,715,130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12420/1

Therefore the LCM of Fractions 18/439,460/715,270/130 is 12420

Greatest Common Factor of 439,715,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 439,715,130 By Matching Biggest Common Factor Method

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 439,715,130 . The biggest common factor number is the GCF number.
So the greatest common factor 439,715,130 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 18/439, 460/715, 270/130

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 18/439, 460/715, 270/130?

Answer: LCM of Numerators as per given numbers 18/439, 460/715, 270/130 is

LCM of Numerators i.e. for 18,460,270 is 12420

GCF of denominators i.e. for 439,715,130 is 1.

Thus, LCM of Fractions is 12420.Finally, LCM of Fractions for 18/439, 460/715, 270/130 is 12420.