Least Common Multiple of 994/19, 243/10, 573/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 994/19, 243/10, 573/56 quickly i.e. 46134522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 994/19, 243/10, 573/56 is 46134522.

LCM(994/19, 243/10, 573/56) = 46134522

LCM of 994/19, 243/10, 573/56

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 994/19,243/10,573/56

Given numbers are 994/19,243/10,573/56

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 994,243,573

Least Common Multiple of Numerators i.e. LCM of 994,243,573 is 46134522.

GCF of Denominators means GCF of 19,10,56 as per the given fractions.

GCF of 19,10,56 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 994,243,573

LCM of Fractions 994/19,243/10,573/56 is 46134522

3 994, 243, 573
994, 81, 191

∴ So the LCM of the given numbers is 3 x 994 x 81 x 191 = 46134522

Least Common Multiple of 994,243,573 with GCF Formula

Least Common Multiple of 994,243,573 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 994,243,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,243,573) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(994,243,573) x common factors =1 x 3 = 3

LCM(994,243,573) = ( 994 × 243 × 573 ) / 3

LCM(994,243,573) = 138403566 / 3

LCM(994,243,573) = 46134522


Lets's calculate GCF of 19,10,56

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46134522/1

Therefore the LCM of Fractions 994/19,243/10,573/56 is 46134522

Greatest Common Factor of 19,10,56 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,10,56 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 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Greatest Common Factor

We found the factors 19,10,56 . The biggest common factor number is the GCF number.
So the greatest common factor 19,10,56 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 994/19, 243/10, 573/56

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 994/19, 243/10, 573/56?

Answer: LCM of Numerators as per given numbers 994/19, 243/10, 573/56 is

LCM of Numerators i.e. for 994,243,573 is 46134522

GCF of denominators i.e. for 19,10,56 is 1.

Thus, LCM of Fractions is 46134522.Finally, LCM of Fractions for 994/19, 243/10, 573/56 is 46134522.