Least Common Multiple of 65/535, 865/201, 563/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/535, 865/201, 563/421 quickly i.e. 6330935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/535, 865/201, 563/421 is 6330935.

LCM(65/535, 865/201, 563/421) = 6330935

LCM of 65/535, 865/201, 563/421

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 65/535,865/201,563/421

Given numbers are 65/535,865/201,563/421

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 65,865,563

Least Common Multiple of Numerators i.e. LCM of 65,865,563 is 6330935.

GCF of Denominators means GCF of 535,201,421 as per the given fractions.

GCF of 535,201,421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,865,563

LCM of Fractions 65/535,865/201,563/421 is 6330935

5 65, 865, 563
13, 173, 563

∴ So the LCM of the given numbers is 5 x 13 x 173 x 563 = 6330935

Least Common Multiple of 65,865,563 with GCF Formula

Least Common Multiple of 65,865,563 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 65,865,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,865,563) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(65,865,563) x common factors =1 x 5 = 5

LCM(65,865,563) = ( 65 × 865 × 563 ) / 5

LCM(65,865,563) = 31654675 / 5

LCM(65,865,563) = 6330935


Lets's calculate GCF of 535,201,421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6330935/1

Therefore the LCM of Fractions 65/535,865/201,563/421 is 6330935

Greatest Common Factor of 535,201,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,201,421 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 535,201,421 . The biggest common factor number is the GCF number.
So the greatest common factor 535,201,421 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 65/535, 865/201, 563/421

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 65/535, 865/201, 563/421?

Answer: LCM of Numerators as per given numbers 65/535, 865/201, 563/421 is

LCM of Numerators i.e. for 65,865,563 is 6330935

GCF of denominators i.e. for 535,201,421 is 1.

Thus, LCM of Fractions is 6330935.Finally, LCM of Fractions for 65/535, 865/201, 563/421 is 6330935.