Least Common Multiple of 5209/725, 3155/9805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5209/725, 3155/9805 quickly i.e. 3286879 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5209/725, 3155/9805 is 3286879.

LCM(5209/725, 3155/9805) = 3286879

LCM of 5209/725, 3155/9805

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 5209/725,3155/9805

Given numbers are 5209/725,3155/9805

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 5209,3155

Least Common Multiple of Numerators i.e. LCM of 5209,3155 is 16434395.

GCF of Denominators means GCF of 725,9805 as per the given fractions.

GCF of 725,9805 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5209,3155

LCM of Fractions 5209/725,3155/9805 is 3286879

Given numbers has no common factors except 1. So, there LCM is their product i.e 16434395

Least Common Multiple of 5209,3155 with GCF Formula

Least Common Multiple of 5209,3155 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 5209,3155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5209,3155) = 1

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

GCF(5209,3155) x common factors =1 x 1 = 1

LCM(5209,3155) = ( 5209 × 3155 ) / 1

LCM(5209,3155) = 16434395 / 1

LCM(5209,3155) = 16434395


Lets's calculate GCF of 725,9805

5 725, 9805
145, 1961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16434395/5

Therefore the LCM of Fractions 5209/725,3155/9805 is 3286879

Greatest Common Factor of 725,9805 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,9805 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 9805

List of positive integer factors of 9805 that divides 9805 without a remainder.

1,5,37,53,185,265,1961,9805

Greatest Common Factor

We found the factors 725,9805 . The biggest common factor number is the GCF number.
So the greatest common factor 725,9805 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 5209/725, 3155/9805

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 5209/725, 3155/9805?

Answer: LCM of Numerators as per given numbers 5209/725, 3155/9805 is

LCM of Numerators i.e. for 5209,3155 is 16434395

GCF of denominators i.e. for 725,9805 is 5.

Thus, LCM of Fractions is 3286879.Finally, LCM of Fractions for 5209/725, 3155/9805 is 3286879.