Least Common Multiple of 312/965, 464/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/965, 464/669 quickly i.e. 18096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/965, 464/669 is 18096.

LCM(312/965, 464/669) = 18096

LCM of 312/965, 464/669

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 312/965,464/669

Given numbers are 312/965,464/669

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 312,464

Least Common Multiple of Numerators i.e. LCM of 312,464 is 18096.

GCF of Denominators means GCF of 965,669 as per the given fractions.

GCF of 965,669 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,464

LCM of Fractions 312/965,464/669 is 18096

2 312, 464
2 156, 232
2 78, 116
39, 58

∴ So the LCM of the given numbers is 2 x 2 x 2 x 39 x 58 = 18096

Least Common Multiple of 312,464 with GCF Formula

Least Common Multiple of 312,464 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 312,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,464) = 8

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

GCF(312,464) x common factors =8 x 1 = 8

LCM(312,464) = ( 312 × 464 ) / 8

LCM(312,464) = 144768 / 8

LCM(312,464) = 18096


Lets's calculate GCF of 965,669

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18096/1

Therefore the LCM of Fractions 312/965,464/669 is 18096

Greatest Common Factor of 965,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,669 By Matching Biggest Common Factor Method

Factors of 965

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

1,5,193,965

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 965,669 . The biggest common factor number is the GCF number.
So the greatest common factor 965,669 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 312/965, 464/669

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 312/965, 464/669?

Answer: LCM of Numerators as per given numbers 312/965, 464/669 is

LCM of Numerators i.e. for 312,464 is 18096

GCF of denominators i.e. for 965,669 is 1.

Thus, LCM of Fractions is 18096.Finally, LCM of Fractions for 312/965, 464/669 is 18096.