Least Common Multiple of 20/808, 2816/1609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/808, 2816/1609 quickly i.e. 14080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/808, 2816/1609 is 14080.

LCM(20/808, 2816/1609) = 14080

LCM of 20/808, 2816/1609

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 20/808,2816/1609

Given numbers are 20/808,2816/1609

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 20,2816

Least Common Multiple of Numerators i.e. LCM of 20,2816 is 14080.

GCF of Denominators means GCF of 808,1609 as per the given fractions.

GCF of 808,1609 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,2816

LCM of Fractions 20/808,2816/1609 is 14080

2 20, 2816
2 10, 1408
5, 704

∴ So the LCM of the given numbers is 2 x 2 x 5 x 704 = 14080

Least Common Multiple of 20,2816 with GCF Formula

Least Common Multiple of 20,2816 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 20,2816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,2816) = 4

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

GCF(20,2816) x common factors =4 x 1 = 4

LCM(20,2816) = ( 20 × 2816 ) / 4

LCM(20,2816) = 56320 / 4

LCM(20,2816) = 14080


Lets's calculate GCF of 808,1609

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14080/1

Therefore the LCM of Fractions 20/808,2816/1609 is 14080

Greatest Common Factor of 808,1609 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,1609 By Matching Biggest Common Factor Method

Factors of 808

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

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

Factors of 1609

List of positive integer factors of 1609 that divides 1609 without a remainder.

1,1609

Greatest Common Factor

We found the factors 808,1609 . The biggest common factor number is the GCF number.
So the greatest common factor 808,1609 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 20/808, 2816/1609

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 20/808, 2816/1609?

Answer: LCM of Numerators as per given numbers 20/808, 2816/1609 is

LCM of Numerators i.e. for 20,2816 is 14080

GCF of denominators i.e. for 808,1609 is 1.

Thus, LCM of Fractions is 14080.Finally, LCM of Fractions for 20/808, 2816/1609 is 14080.