Least Common Multiple of 521/72, 505/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 521/72, 505/790 quickly i.e. 263105/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 521/72, 505/790 is 263105/2.

LCM(521/72, 505/790) = 263105/2

LCM of 521/72, 505/790

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 521/72,505/790

Given numbers are 521/72,505/790

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 521,505

Least Common Multiple of Numerators i.e. LCM of 521,505 is 263105.

GCF of Denominators means GCF of 72,790 as per the given fractions.

GCF of 72,790 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 521,505

LCM of Fractions 521/72,505/790 is 263105/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 263105

Least Common Multiple of 521,505 with GCF Formula

Least Common Multiple of 521,505 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 521,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,505) = 1

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

GCF(521,505) x common factors =1 x 1 = 1

LCM(521,505) = ( 521 × 505 ) / 1

LCM(521,505) = 263105 / 1

LCM(521,505) = 263105


Lets's calculate GCF of 72,790

2 72, 790
36, 395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263105/2

Therefore the LCM of Fractions 521/72,505/790 is 263105/2

Greatest Common Factor of 72,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,790 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 72,790 . The biggest common factor number is the GCF number.
So the greatest common factor 72,790 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 521/72, 505/790

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 521/72, 505/790?

Answer: LCM of Numerators as per given numbers 521/72, 505/790 is

LCM of Numerators i.e. for 521,505 is 263105

GCF of denominators i.e. for 72,790 is 2.

Thus, LCM of Fractions is 263105/2.Finally, LCM of Fractions for 521/72, 505/790 is 263105/2.