Least Common Multiple of 817/65, 129/4475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 817/65, 129/4475 quickly i.e. 2451/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 817/65, 129/4475 is 2451/5.

LCM(817/65, 129/4475) = 2451/5

LCM of 817/65, 129/4475

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 817/65,129/4475

Given numbers are 817/65,129/4475

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 817,129

Least Common Multiple of Numerators i.e. LCM of 817,129 is 2451.

GCF of Denominators means GCF of 65,4475 as per the given fractions.

GCF of 65,4475 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 817,129

LCM of Fractions 817/65,129/4475 is 2451/5

43 817, 129
19, 3

∴ So the LCM of the given numbers is 43 x 19 x 3 = 2451

Least Common Multiple of 817,129 with GCF Formula

Least Common Multiple of 817,129 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 817,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,129) = 43

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

GCF(817,129) x common factors =43 x 1 = 43

LCM(817,129) = ( 817 × 129 ) / 43

LCM(817,129) = 105393 / 43

LCM(817,129) = 2451


Lets's calculate GCF of 65,4475

5 65, 4475
13, 895

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2451/5

Therefore the LCM of Fractions 817/65,129/4475 is 2451/5

Greatest Common Factor of 65,4475 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,4475 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 4475

List of positive integer factors of 4475 that divides 4475 without a remainder.

1,5,25,179,895,4475

Greatest Common Factor

We found the factors 65,4475 . The biggest common factor number is the GCF number.
So the greatest common factor 65,4475 is 5.


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 817/65, 129/4475

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 817/65, 129/4475?

Answer: LCM of Numerators as per given numbers 817/65, 129/4475 is

LCM of Numerators i.e. for 817,129 is 2451

GCF of denominators i.e. for 65,4475 is 5.

Thus, LCM of Fractions is 2451/5.Finally, LCM of Fractions for 817/65, 129/4475 is 2451/5.