Least Common Multiple of 503/90, 910/48, 744/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 503/90, 910/48, 744/814 quickly i.e. 85137780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 503/90, 910/48, 744/814 is 85137780.

LCM(503/90, 910/48, 744/814) = 85137780

LCM of 503/90, 910/48, 744/814

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 503/90,910/48,744/814

Given numbers are 503/90,910/48,744/814

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 503,910,744

Least Common Multiple of Numerators i.e. LCM of 503,910,744 is 170275560.

GCF of Denominators means GCF of 90,48,814 as per the given fractions.

GCF of 90,48,814 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 503,910,744

LCM of Fractions 503/90,910/48,744/814 is 85137780

2 503, 910, 744
503, 455, 372

∴ So the LCM of the given numbers is 2 x 503 x 455 x 372 = 170275560

Least Common Multiple of 503,910,744 with GCF Formula

Least Common Multiple of 503,910,744 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 503,910,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(503,910,744) = 1

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

GCF(503,910,744) x common factors =1 x 2 = 2

LCM(503,910,744) = ( 503 × 910 × 744 ) / 2

LCM(503,910,744) = 340551120 / 2

LCM(503,910,744) = 170275560


Lets's calculate GCF of 90,48,814

2 90, 48, 814
45, 24, 407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170275560/2

Therefore the LCM of Fractions 503/90,910/48,744/814 is 85137780

Greatest Common Factor of 90,48,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,48,814 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 90,48,814 . The biggest common factor number is the GCF number.
So the greatest common factor 90,48,814 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 503/90, 910/48, 744/814

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 503/90, 910/48, 744/814?

Answer: LCM of Numerators as per given numbers 503/90, 910/48, 744/814 is

LCM of Numerators i.e. for 503,910,744 is 170275560

GCF of denominators i.e. for 90,48,814 is 2.

Thus, LCM of Fractions is 85137780.Finally, LCM of Fractions for 503/90, 910/48, 744/814 is 85137780.