Least Common Multiple of 723/19, 224/57, 338/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 723/19, 224/57, 338/452 quickly i.e. 27369888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/19, 224/57, 338/452 is 27369888.

LCM(723/19, 224/57, 338/452) = 27369888

LCM of 723/19, 224/57, 338/452

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 723/19,224/57,338/452

Given numbers are 723/19,224/57,338/452

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 723,224,338

Least Common Multiple of Numerators i.e. LCM of 723,224,338 is 27369888.

GCF of Denominators means GCF of 19,57,452 as per the given fractions.

GCF of 19,57,452 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,224,338

LCM of Fractions 723/19,224/57,338/452 is 27369888

2 723, 224, 338
723, 112, 169

∴ So the LCM of the given numbers is 2 x 723 x 112 x 169 = 27369888

Least Common Multiple of 723,224,338 with GCF Formula

Least Common Multiple of 723,224,338 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 723,224,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,224,338) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(723,224,338) x common factors =1 x 2 = 2

LCM(723,224,338) = ( 723 × 224 × 338 ) / 2

LCM(723,224,338) = 54739776 / 2

LCM(723,224,338) = 27369888


Lets's calculate GCF of 19,57,452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27369888/1

Therefore the LCM of Fractions 723/19,224/57,338/452 is 27369888

Greatest Common Factor of 19,57,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,57,452 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 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 19,57,452 . The biggest common factor number is the GCF number.
So the greatest common factor 19,57,452 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 723/19, 224/57, 338/452

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 723/19, 224/57, 338/452?

Answer: LCM of Numerators as per given numbers 723/19, 224/57, 338/452 is

LCM of Numerators i.e. for 723,224,338 is 27369888

GCF of denominators i.e. for 19,57,452 is 1.

Thus, LCM of Fractions is 27369888.Finally, LCM of Fractions for 723/19, 224/57, 338/452 is 27369888.