Least Common Multiple of 1411/316, 8304/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1411/316, 8304/965 quickly i.e. 11716944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1411/316, 8304/965 is 11716944.

LCM(1411/316, 8304/965) = 11716944

LCM of 1411/316, 8304/965

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 1411/316,8304/965

Given numbers are 1411/316,8304/965

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 1411,8304

Least Common Multiple of Numerators i.e. LCM of 1411,8304 is 11716944.

GCF of Denominators means GCF of 316,965 as per the given fractions.

GCF of 316,965 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1411,8304

LCM of Fractions 1411/316,8304/965 is 11716944

Given numbers has no common factors except 1. So, there LCM is their product i.e 11716944

Least Common Multiple of 1411,8304 with GCF Formula

Least Common Multiple of 1411,8304 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 1411,8304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1411,8304) = 1

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

GCF(1411,8304) x common factors =1 x 1 = 1

LCM(1411,8304) = ( 1411 × 8304 ) / 1

LCM(1411,8304) = 11716944 / 1

LCM(1411,8304) = 11716944


Lets's calculate GCF of 316,965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11716944/1

Therefore the LCM of Fractions 1411/316,8304/965 is 11716944

Greatest Common Factor of 316,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,965 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 316,965 . The biggest common factor number is the GCF number.
So the greatest common factor 316,965 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1411/316, 8304/965

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 1411/316, 8304/965?

Answer: LCM of Numerators as per given numbers 1411/316, 8304/965 is

LCM of Numerators i.e. for 1411,8304 is 11716944

GCF of denominators i.e. for 316,965 is 1.

Thus, LCM of Fractions is 11716944.Finally, LCM of Fractions for 1411/316, 8304/965 is 11716944.