Least Common Multiple of 15/697, 9159/3690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/697, 9159/3690 quickly i.e. 45795/41 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/697, 9159/3690 is 45795/41.

LCM(15/697, 9159/3690) = 45795/41

LCM of 15/697, 9159/3690

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 15/697,9159/3690

Given numbers are 15/697,9159/3690

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 15,9159

Least Common Multiple of Numerators i.e. LCM of 15,9159 is 45795.

GCF of Denominators means GCF of 697,3690 as per the given fractions.

GCF of 697,3690 is 41 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,9159

LCM of Fractions 15/697,9159/3690 is 45795/41

3 15, 9159
5, 3053

∴ So the LCM of the given numbers is 3 x 5 x 3053 = 45795

Least Common Multiple of 15,9159 with GCF Formula

Least Common Multiple of 15,9159 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 15,9159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,9159) = 3

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

GCF(15,9159) x common factors =3 x 1 = 3

LCM(15,9159) = ( 15 × 9159 ) / 3

LCM(15,9159) = 137385 / 3

LCM(15,9159) = 45795


Lets's calculate GCF of 697,3690

41 697, 3690
17, 90

∴ So the GCF of the given numbers is 41 = 41

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45795/41

Therefore the LCM of Fractions 15/697,9159/3690 is 45795/41

Greatest Common Factor of 697,3690 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,3690 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 3690

List of positive integer factors of 3690 that divides 3690 without a remainder.

1,2,3,5,6,9,10,15,18,30,41,45,82,90,123,205,246,369,410,615,738,1230,1845,3690

Greatest Common Factor

We found the factors 697,3690 . The biggest common factor number is the GCF number.
So the greatest common factor 697,3690 is 41.


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 15/697, 9159/3690

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 15/697, 9159/3690?

Answer: LCM of Numerators as per given numbers 15/697, 9159/3690 is

LCM of Numerators i.e. for 15,9159 is 45795

GCF of denominators i.e. for 697,3690 is 41.

Thus, LCM of Fractions is 45795/41.Finally, LCM of Fractions for 15/697, 9159/3690 is 45795/41.