Least Common Multiple of 696/19, 323/21, 256/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 696/19, 323/21, 256/225 quickly i.e. 7193856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 696/19, 323/21, 256/225 is 7193856.

LCM(696/19, 323/21, 256/225) = 7193856

LCM of 696/19, 323/21, 256/225

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 696/19,323/21,256/225

Given numbers are 696/19,323/21,256/225

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 696,323,256

Least Common Multiple of Numerators i.e. LCM of 696,323,256 is 7193856.

GCF of Denominators means GCF of 19,21,225 as per the given fractions.

GCF of 19,21,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 696,323,256

LCM of Fractions 696/19,323/21,256/225 is 7193856

2 696, 323, 256
2 348, 323, 128
2 174, 323, 64
87, 323, 32

∴ So the LCM of the given numbers is 2 x 2 x 2 x 87 x 323 x 32 = 7193856

Least Common Multiple of 696,323,256 with GCF Formula

Least Common Multiple of 696,323,256 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 696,323,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,323,256) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(696,323,256) x common factors =1 x 8 = 8

LCM(696,323,256) = ( 696 × 323 × 256 ) / 8

LCM(696,323,256) = 57550848 / 8

LCM(696,323,256) = 7193856


Lets's calculate GCF of 19,21,225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7193856/1

Therefore the LCM of Fractions 696/19,323/21,256/225 is 7193856

Greatest Common Factor of 19,21,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,21,225 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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 19,21,225 . The biggest common factor number is the GCF number.
So the greatest common factor 19,21,225 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 696/19, 323/21, 256/225

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 696/19, 323/21, 256/225?

Answer: LCM of Numerators as per given numbers 696/19, 323/21, 256/225 is

LCM of Numerators i.e. for 696,323,256 is 7193856

GCF of denominators i.e. for 19,21,225 is 1.

Thus, LCM of Fractions is 7193856.Finally, LCM of Fractions for 696/19, 323/21, 256/225 is 7193856.