Least Common Multiple of 256/9, 14/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 256/9, 14/20 quickly i.e. 1792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 256/9, 14/20 is 1792.

LCM(256/9, 14/20) = 1792

LCM of 256/9, 14/20

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 256/9,14/20

Given numbers are 256/9,14/20

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 256,14

Least Common Multiple of Numerators i.e. LCM of 256,14 is 1792.

GCF of Denominators means GCF of 9,20 as per the given fractions.

GCF of 9,20 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 256,14

LCM of Fractions 256/9,14/20 is 1792

2 256, 14
128, 7

∴ So the LCM of the given numbers is 2 x 128 x 7 = 1792

Least Common Multiple of 256,14 with GCF Formula

Least Common Multiple of 256,14 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 256,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,14) = 2

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

GCF(256,14) x common factors =2 x 1 = 2

LCM(256,14) = ( 256 × 14 ) / 2

LCM(256,14) = 3584 / 2

LCM(256,14) = 1792


Lets's calculate GCF of 9,20

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1792/1

Therefore the LCM of Fractions 256/9,14/20 is 1792

Greatest Common Factor of 9,20 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,20 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Greatest Common Factor

We found the factors 9,20 . The biggest common factor number is the GCF number.
So the greatest common factor 9,20 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 256/9, 14/20

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 256/9, 14/20?

Answer: LCM of Numerators as per given numbers 256/9, 14/20 is

LCM of Numerators i.e. for 256,14 is 1792

GCF of denominators i.e. for 9,20 is 1.

Thus, LCM of Fractions is 1792.Finally, LCM of Fractions for 256/9, 14/20 is 1792.