Least Common Multiple of 59/208, 8535/4537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/208, 8535/4537 quickly i.e. 503565/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/208, 8535/4537 is 503565/13.

LCM(59/208, 8535/4537) = 503565/13

LCM of 59/208, 8535/4537

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 59/208,8535/4537

Given numbers are 59/208,8535/4537

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 59,8535

Least Common Multiple of Numerators i.e. LCM of 59,8535 is 503565.

GCF of Denominators means GCF of 208,4537 as per the given fractions.

GCF of 208,4537 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,8535

LCM of Fractions 59/208,8535/4537 is 503565/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 503565

Least Common Multiple of 59,8535 with GCF Formula

Least Common Multiple of 59,8535 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 59,8535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,8535) = 1

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

GCF(59,8535) x common factors =1 x 1 = 1

LCM(59,8535) = ( 59 × 8535 ) / 1

LCM(59,8535) = 503565 / 1

LCM(59,8535) = 503565


Lets's calculate GCF of 208,4537

13 208, 4537
16, 349

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 503565/13

Therefore the LCM of Fractions 59/208,8535/4537 is 503565/13

Greatest Common Factor of 208,4537 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,4537 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 4537

List of positive integer factors of 4537 that divides 4537 without a remainder.

1,13,349,4537

Greatest Common Factor

We found the factors 208,4537 . The biggest common factor number is the GCF number.
So the greatest common factor 208,4537 is 13.


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 59/208, 8535/4537

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 59/208, 8535/4537?

Answer: LCM of Numerators as per given numbers 59/208, 8535/4537 is

LCM of Numerators i.e. for 59,8535 is 503565

GCF of denominators i.e. for 208,4537 is 13.

Thus, LCM of Fractions is 503565/13.Finally, LCM of Fractions for 59/208, 8535/4537 is 503565/13.