Least Common Multiple of 19/14, 56/23, 64/61, 80/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/14, 56/23, 64/61, 80/281 quickly i.e. 42560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/14, 56/23, 64/61, 80/281 is 42560.

LCM(19/14, 56/23, 64/61, 80/281) = 42560

LCM of 19/14, 56/23, 64/61, 80/281

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 19/14,56/23,64/61,80/281

Given numbers are 19/14,56/23,64/61,80/281

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 19,56,64,80

Least Common Multiple of Numerators i.e. LCM of 19,56,64,80 is 42560.

GCF of Denominators means GCF of 14,23,61,281 as per the given fractions.

GCF of 14,23,61,281 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,56,64,80

LCM of Fractions 19/14,56/23,64/61,80/281 is 42560

2 19, 56, 64, 80
2 19, 28, 32, 40
2 19, 14, 16, 20
2 19, 7, 8, 10
19, 7, 4, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 7 x 4 x 5 = 42560

Least Common Multiple of 19,56,64,80 with GCF Formula

Least Common Multiple of 19,56,64,80 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 19,56,64,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,56,64,80) = 1

common factors(in case of two or more numbers have common factors) = 128

GCF(19,56,64,80) x common factors =1 x 128 = 128

LCM(19,56,64,80) = ( 19 × 56 × 64 × 80 ) / 128

LCM(19,56,64,80) = 5447680 / 128

LCM(19,56,64,80) = 42560


Lets's calculate GCF of 14,23,61,281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42560/1

Therefore the LCM of Fractions 19/14,56/23,64/61,80/281 is 42560

Greatest Common Factor of 14,23,61,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,23,61,281 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 14,23,61,281 . The biggest common factor number is the GCF number.
So the greatest common factor 14,23,61,281 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 19/14, 56/23, 64/61, 80/281

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 19/14, 56/23, 64/61, 80/281?

Answer: LCM of Numerators as per given numbers 19/14, 56/23, 64/61, 80/281 is

LCM of Numerators i.e. for 19,56,64,80 is 42560

GCF of denominators i.e. for 14,23,61,281 is 1.

Thus, LCM of Fractions is 42560.Finally, LCM of Fractions for 19/14, 56/23, 64/61, 80/281 is 42560.