Least Common Multiple of 224/794, 1744/5503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 224/794, 1744/5503 quickly i.e. 24416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 224/794, 1744/5503 is 24416.

LCM(224/794, 1744/5503) = 24416

LCM of 224/794, 1744/5503

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 224/794,1744/5503

Given numbers are 224/794,1744/5503

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 224,1744

Least Common Multiple of Numerators i.e. LCM of 224,1744 is 24416.

GCF of Denominators means GCF of 794,5503 as per the given fractions.

GCF of 794,5503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 224,1744

LCM of Fractions 224/794,1744/5503 is 24416

2 224, 1744
2 112, 872
2 56, 436
2 28, 218
14, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 14 x 109 = 24416

Least Common Multiple of 224,1744 with GCF Formula

Least Common Multiple of 224,1744 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 224,1744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,1744) = 16

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

GCF(224,1744) x common factors =16 x 1 = 16

LCM(224,1744) = ( 224 × 1744 ) / 16

LCM(224,1744) = 390656 / 16

LCM(224,1744) = 24416


Lets's calculate GCF of 794,5503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24416/1

Therefore the LCM of Fractions 224/794,1744/5503 is 24416

Greatest Common Factor of 794,5503 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,5503 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 5503

List of positive integer factors of 5503 that divides 5503 without a remainder.

1,5503

Greatest Common Factor

We found the factors 794,5503 . The biggest common factor number is the GCF number.
So the greatest common factor 794,5503 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 224/794, 1744/5503

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 224/794, 1744/5503?

Answer: LCM of Numerators as per given numbers 224/794, 1744/5503 is

LCM of Numerators i.e. for 224,1744 is 24416

GCF of denominators i.e. for 794,5503 is 1.

Thus, LCM of Fractions is 24416.Finally, LCM of Fractions for 224/794, 1744/5503 is 24416.