Least Common Multiple of 503/74, 444/50, 259/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 503/74, 444/50, 259/550 quickly i.e. 781662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 503/74, 444/50, 259/550 is 781662.

LCM(503/74, 444/50, 259/550) = 781662

LCM of 503/74, 444/50, 259/550

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 503/74,444/50,259/550

Given numbers are 503/74,444/50,259/550

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 503,444,259

Least Common Multiple of Numerators i.e. LCM of 503,444,259 is 1563324.

GCF of Denominators means GCF of 74,50,550 as per the given fractions.

GCF of 74,50,550 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 503,444,259

LCM of Fractions 503/74,444/50,259/550 is 781662

37 503, 444, 259
503, 12, 7

∴ So the LCM of the given numbers is 37 x 503 x 12 x 7 = 1563324

Least Common Multiple of 503,444,259 with GCF Formula

Least Common Multiple of 503,444,259 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 503,444,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(503,444,259) = 1

common factors(in case of two or more numbers have common factors) = 37

GCF(503,444,259) x common factors =1 x 37 = 37

LCM(503,444,259) = ( 503 × 444 × 259 ) / 37

LCM(503,444,259) = 57842988 / 37

LCM(503,444,259) = 1563324


Lets's calculate GCF of 74,50,550

2 74, 50, 550
37, 25, 275

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1563324/2

Therefore the LCM of Fractions 503/74,444/50,259/550 is 781662

Greatest Common Factor of 74,50,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,50,550 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 74,50,550 . The biggest common factor number is the GCF number.
So the greatest common factor 74,50,550 is 2.


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 503/74, 444/50, 259/550

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 503/74, 444/50, 259/550?

Answer: LCM of Numerators as per given numbers 503/74, 444/50, 259/550 is

LCM of Numerators i.e. for 503,444,259 is 1563324

GCF of denominators i.e. for 74,50,550 is 2.

Thus, LCM of Fractions is 781662.Finally, LCM of Fractions for 503/74, 444/50, 259/550 is 781662.