Least Common Multiple of 64/19, 16/42, 64/59, 56/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/19, 16/42, 64/59, 56/809 quickly i.e. 448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/19, 16/42, 64/59, 56/809 is 448.

LCM(64/19, 16/42, 64/59, 56/809) = 448

LCM of 64/19, 16/42, 64/59, 56/809

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 64/19,16/42,64/59,56/809

Given numbers are 64/19,16/42,64/59,56/809

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 64,16,64,56

Least Common Multiple of Numerators i.e. LCM of 64,16,64,56 is 448.

GCF of Denominators means GCF of 19,42,59,809 as per the given fractions.

GCF of 19,42,59,809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,16,64,56

LCM of Fractions 64/19,16/42,64/59,56/809 is 448

2 64, 16, 64, 56
2 32, 8, 32, 28
2 16, 4, 16, 14
2 8, 2, 8, 7
2 4, 1, 4, 7
2 2, 1, 2, 7
1, 1, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 1 x 1 x 1 x 7 = 448

Least Common Multiple of 64,16,64,56 with GCF Formula

Least Common Multiple of 64,16,64,56 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 64,16,64,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,16,64,56) = 8

common factors(in case of two or more numbers have common factors) = 1024

GCF(64,16,64,56) x common factors =8 x 1024 = 8192

LCM(64,16,64,56) = ( 64 × 16 × 64 × 56 ) / 8192

LCM(64,16,64,56) = 3670016 / 8192

LCM(64,16,64,56) = 448


Lets's calculate GCF of 19,42,59,809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 448/1

Therefore the LCM of Fractions 64/19,16/42,64/59,56/809 is 448

Greatest Common Factor of 19,42,59,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,42,59,809 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Greatest Common Factor

We found the factors 19,42,59,809 . The biggest common factor number is the GCF number.
So the greatest common factor 19,42,59,809 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 64/19, 16/42, 64/59, 56/809

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 64/19, 16/42, 64/59, 56/809?

Answer: LCM of Numerators as per given numbers 64/19, 16/42, 64/59, 56/809 is

LCM of Numerators i.e. for 64,16,64,56 is 448

GCF of denominators i.e. for 19,42,59,809 is 1.

Thus, LCM of Fractions is 448.Finally, LCM of Fractions for 64/19, 16/42, 64/59, 56/809 is 448.