Least Common Multiple of 18/509, 8012/8490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/509, 8012/8490 quickly i.e. 72108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/509, 8012/8490 is 72108.

LCM(18/509, 8012/8490) = 72108

LCM of 18/509, 8012/8490

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 18/509,8012/8490

Given numbers are 18/509,8012/8490

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 18,8012

Least Common Multiple of Numerators i.e. LCM of 18,8012 is 72108.

GCF of Denominators means GCF of 509,8490 as per the given fractions.

GCF of 509,8490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,8012

LCM of Fractions 18/509,8012/8490 is 72108

2 18, 8012
9, 4006

∴ So the LCM of the given numbers is 2 x 9 x 4006 = 72108

Least Common Multiple of 18,8012 with GCF Formula

Least Common Multiple of 18,8012 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 18,8012 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,8012) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(18,8012) x common factors =2 x 1 = 2

LCM(18,8012) = ( 18 × 8012 ) / 2

LCM(18,8012) = 144216 / 2

LCM(18,8012) = 72108


Lets's calculate GCF of 509,8490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72108/1

Therefore the LCM of Fractions 18/509,8012/8490 is 72108

Greatest Common Factor of 509,8490 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,8490 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 8490

List of positive integer factors of 8490 that divides 8490 without a remainder.

1,2,3,5,6,10,15,30,283,566,849,1415,1698,2830,4245,8490

Greatest Common Factor

We found the factors 509,8490 . The biggest common factor number is the GCF number.
So the greatest common factor 509,8490 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 18/509, 8012/8490

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 18/509, 8012/8490?

Answer: LCM of Numerators as per given numbers 18/509, 8012/8490 is

LCM of Numerators i.e. for 18,8012 is 72108

GCF of denominators i.e. for 509,8490 is 1.

Thus, LCM of Fractions is 72108.Finally, LCM of Fractions for 18/509, 8012/8490 is 72108.