Least Common Multiple of 84/535, 2527/8201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/535, 2527/8201 quickly i.e. 30324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/535, 2527/8201 is 30324.

LCM(84/535, 2527/8201) = 30324

LCM of 84/535, 2527/8201

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 84/535,2527/8201

Given numbers are 84/535,2527/8201

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 84,2527

Least Common Multiple of Numerators i.e. LCM of 84,2527 is 30324.

GCF of Denominators means GCF of 535,8201 as per the given fractions.

GCF of 535,8201 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,2527

LCM of Fractions 84/535,2527/8201 is 30324

7 84, 2527
12, 361

∴ So the LCM of the given numbers is 7 x 12 x 361 = 30324

Least Common Multiple of 84,2527 with GCF Formula

Least Common Multiple of 84,2527 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 84,2527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,2527) = 7

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

GCF(84,2527) x common factors =7 x 1 = 7

LCM(84,2527) = ( 84 × 2527 ) / 7

LCM(84,2527) = 212268 / 7

LCM(84,2527) = 30324


Lets's calculate GCF of 535,8201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30324/1

Therefore the LCM of Fractions 84/535,2527/8201 is 30324

Greatest Common Factor of 535,8201 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,8201 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 8201

List of positive integer factors of 8201 that divides 8201 without a remainder.

1,59,139,8201

Greatest Common Factor

We found the factors 535,8201 . The biggest common factor number is the GCF number.
So the greatest common factor 535,8201 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 84/535, 2527/8201

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 84/535, 2527/8201?

Answer: LCM of Numerators as per given numbers 84/535, 2527/8201 is

LCM of Numerators i.e. for 84,2527 is 30324

GCF of denominators i.e. for 535,8201 is 1.

Thus, LCM of Fractions is 30324.Finally, LCM of Fractions for 84/535, 2527/8201 is 30324.