Least Common Multiple of 18/516, 32/120, 730/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/516, 32/120, 730/808 quickly i.e. 26280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/516, 32/120, 730/808 is 26280.

LCM(18/516, 32/120, 730/808) = 26280

LCM of 18/516, 32/120, 730/808

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 18/516,32/120,730/808

Given numbers are 18/516,32/120,730/808

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 18,32,730

Least Common Multiple of Numerators i.e. LCM of 18,32,730 is 105120.

GCF of Denominators means GCF of 516,120,808 as per the given fractions.

GCF of 516,120,808 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,32,730

LCM of Fractions 18/516,32/120,730/808 is 26280

2 18, 32, 730
9, 16, 365

∴ So the LCM of the given numbers is 2 x 9 x 16 x 365 = 105120

Least Common Multiple of 18,32,730 with GCF Formula

Least Common Multiple of 18,32,730 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 18,32,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,32,730) = 2

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

GCF(18,32,730) x common factors =2 x 2 = 4

LCM(18,32,730) = ( 18 × 32 × 730 ) / 4

LCM(18,32,730) = 420480 / 4

LCM(18,32,730) = 105120


Lets's calculate GCF of 516,120,808

2 516, 120, 808
2 258, 60, 404
129, 30, 202

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105120/4

Therefore the LCM of Fractions 18/516,32/120,730/808 is 26280

Greatest Common Factor of 516,120,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,120,808 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 516,120,808 . The biggest common factor number is the GCF number.
So the greatest common factor 516,120,808 is 4.


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 18/516, 32/120, 730/808

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 18/516, 32/120, 730/808?

Answer: LCM of Numerators as per given numbers 18/516, 32/120, 730/808 is

LCM of Numerators i.e. for 18,32,730 is 105120

GCF of denominators i.e. for 516,120,808 is 4.

Thus, LCM of Fractions is 26280.Finally, LCM of Fractions for 18/516, 32/120, 730/808 is 26280.