Least Common Multiple of 521/496, 535/551, 101/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 521/496, 535/551, 101/205 quickly i.e. 28152235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 521/496, 535/551, 101/205 is 28152235.

LCM(521/496, 535/551, 101/205) = 28152235

LCM of 521/496, 535/551, 101/205

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 521/496,535/551,101/205

Given numbers are 521/496,535/551,101/205

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 521,535,101

Least Common Multiple of Numerators i.e. LCM of 521,535,101 is 28152235.

GCF of Denominators means GCF of 496,551,205 as per the given fractions.

GCF of 496,551,205 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 521,535,101

LCM of Fractions 521/496,535/551,101/205 is 28152235

Given numbers has no common factors except 1. So, there LCM is their product i.e 28152235

Least Common Multiple of 521,535,101 with GCF Formula

Least Common Multiple of 521,535,101 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 521,535,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,535,101) = 1

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

GCF(521,535,101) x common factors =1 x 1 = 1

LCM(521,535,101) = ( 521 × 535 × 101 ) / 1

LCM(521,535,101) = 28152235 / 1

LCM(521,535,101) = 28152235


Lets's calculate GCF of 496,551,205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28152235/1

Therefore the LCM of Fractions 521/496,535/551,101/205 is 28152235

Greatest Common Factor of 496,551,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,551,205 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 496,551,205 . The biggest common factor number is the GCF number.
So the greatest common factor 496,551,205 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 521/496, 535/551, 101/205

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 521/496, 535/551, 101/205?

Answer: LCM of Numerators as per given numbers 521/496, 535/551, 101/205 is

LCM of Numerators i.e. for 521,535,101 is 28152235

GCF of denominators i.e. for 496,551,205 is 1.

Thus, LCM of Fractions is 28152235.Finally, LCM of Fractions for 521/496, 535/551, 101/205 is 28152235.