Least Common Multiple of 1165/404, 3187/1468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1165/404, 3187/1468 quickly i.e. 3712855/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1165/404, 3187/1468 is 3712855/4.

LCM(1165/404, 3187/1468) = 3712855/4

LCM of 1165/404, 3187/1468

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 1165/404,3187/1468

Given numbers are 1165/404,3187/1468

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 1165,3187

Least Common Multiple of Numerators i.e. LCM of 1165,3187 is 3712855.

GCF of Denominators means GCF of 404,1468 as per the given fractions.

GCF of 404,1468 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1165,3187

LCM of Fractions 1165/404,3187/1468 is 3712855/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 3712855

Least Common Multiple of 1165,3187 with GCF Formula

Least Common Multiple of 1165,3187 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 1165,3187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1165,3187) = 1

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

GCF(1165,3187) x common factors =1 x 1 = 1

LCM(1165,3187) = ( 1165 × 3187 ) / 1

LCM(1165,3187) = 3712855 / 1

LCM(1165,3187) = 3712855


Lets's calculate GCF of 404,1468

2 404, 1468
2 202, 734
101, 367

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3712855/4

Therefore the LCM of Fractions 1165/404,3187/1468 is 3712855/4

Greatest Common Factor of 404,1468 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,1468 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 1468

List of positive integer factors of 1468 that divides 1468 without a remainder.

1,2,4,367,734,1468

Greatest Common Factor

We found the factors 404,1468 . The biggest common factor number is the GCF number.
So the greatest common factor 404,1468 is 4.


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 1165/404, 3187/1468

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 1165/404, 3187/1468?

Answer: LCM of Numerators as per given numbers 1165/404, 3187/1468 is

LCM of Numerators i.e. for 1165,3187 is 3712855

GCF of denominators i.e. for 404,1468 is 4.

Thus, LCM of Fractions is 3712855/4.Finally, LCM of Fractions for 1165/404, 3187/1468 is 3712855/4.