Least Common Multiple of 17/580, 4967/3625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/580, 4967/3625 quickly i.e. 84439/145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/580, 4967/3625 is 84439/145.

LCM(17/580, 4967/3625) = 84439/145

LCM of 17/580, 4967/3625

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 17/580,4967/3625

Given numbers are 17/580,4967/3625

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 17,4967

Least Common Multiple of Numerators i.e. LCM of 17,4967 is 84439.

GCF of Denominators means GCF of 580,3625 as per the given fractions.

GCF of 580,3625 is 145 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,4967

LCM of Fractions 17/580,4967/3625 is 84439/145

Given numbers has no common factors except 1. So, there LCM is their product i.e 84439

Least Common Multiple of 17,4967 with GCF Formula

Least Common Multiple of 17,4967 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 17,4967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,4967) = 1

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

GCF(17,4967) x common factors =1 x 1 = 1

LCM(17,4967) = ( 17 × 4967 ) / 1

LCM(17,4967) = 84439 / 1

LCM(17,4967) = 84439


Lets's calculate GCF of 580,3625

5 580, 3625
29 116, 725
4, 25

∴ So the GCF of the given numbers is 5 x 29 = 145

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84439/145

Therefore the LCM of Fractions 17/580,4967/3625 is 84439/145

Greatest Common Factor of 580,3625 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,3625 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 3625

List of positive integer factors of 3625 that divides 3625 without a remainder.

1,5,25,29,125,145,725,3625

Greatest Common Factor

We found the factors 580,3625 . The biggest common factor number is the GCF number.
So the greatest common factor 580,3625 is 145.


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 17/580, 4967/3625

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 17/580, 4967/3625?

Answer: LCM of Numerators as per given numbers 17/580, 4967/3625 is

LCM of Numerators i.e. for 17,4967 is 84439

GCF of denominators i.e. for 580,3625 is 145.

Thus, LCM of Fractions is 84439/145.Finally, LCM of Fractions for 17/580, 4967/3625 is 84439/145.