Least Common Multiple of 59/365, 175/686, 104/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/365, 175/686, 104/519 quickly i.e. 1073800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/365, 175/686, 104/519 is 1073800.

LCM(59/365, 175/686, 104/519) = 1073800

LCM of 59/365, 175/686, 104/519

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 59/365,175/686,104/519

Given numbers are 59/365,175/686,104/519

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 59,175,104

Least Common Multiple of Numerators i.e. LCM of 59,175,104 is 1073800.

GCF of Denominators means GCF of 365,686,519 as per the given fractions.

GCF of 365,686,519 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,175,104

LCM of Fractions 59/365,175/686,104/519 is 1073800

Given numbers has no common factors except 1. So, there LCM is their product i.e 1073800

Least Common Multiple of 59,175,104 with GCF Formula

Least Common Multiple of 59,175,104 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 59,175,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,175,104) = 1

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

GCF(59,175,104) x common factors =1 x 1 = 1

LCM(59,175,104) = ( 59 × 175 × 104 ) / 1

LCM(59,175,104) = 1073800 / 1

LCM(59,175,104) = 1073800


Lets's calculate GCF of 365,686,519

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1073800/1

Therefore the LCM of Fractions 59/365,175/686,104/519 is 1073800

Greatest Common Factor of 365,686,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,686,519 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Greatest Common Factor

We found the factors 365,686,519 . The biggest common factor number is the GCF number.
So the greatest common factor 365,686,519 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 59/365, 175/686, 104/519

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 59/365, 175/686, 104/519?

Answer: LCM of Numerators as per given numbers 59/365, 175/686, 104/519 is

LCM of Numerators i.e. for 59,175,104 is 1073800

GCF of denominators i.e. for 365,686,519 is 1.

Thus, LCM of Fractions is 1073800.Finally, LCM of Fractions for 59/365, 175/686, 104/519 is 1073800.