Least Common Multiple of 46/81, 14/960, 458/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/81, 14/960, 458/712 quickly i.e. 73738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/81, 14/960, 458/712 is 73738.

LCM(46/81, 14/960, 458/712) = 73738

LCM of 46/81, 14/960, 458/712

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 46/81,14/960,458/712

Given numbers are 46/81,14/960,458/712

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 46,14,458

Least Common Multiple of Numerators i.e. LCM of 46,14,458 is 73738.

GCF of Denominators means GCF of 81,960,712 as per the given fractions.

GCF of 81,960,712 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,14,458

LCM of Fractions 46/81,14/960,458/712 is 73738

2 46, 14, 458
23, 7, 229

∴ So the LCM of the given numbers is 2 x 23 x 7 x 229 = 73738

Least Common Multiple of 46,14,458 with GCF Formula

Least Common Multiple of 46,14,458 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 46,14,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,14,458) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(46,14,458) x common factors =2 x 2 = 4

LCM(46,14,458) = ( 46 × 14 × 458 ) / 4

LCM(46,14,458) = 294952 / 4

LCM(46,14,458) = 73738


Lets's calculate GCF of 81,960,712

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73738/1

Therefore the LCM of Fractions 46/81,14/960,458/712 is 73738

Greatest Common Factor of 81,960,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,960,712 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 81,960,712 . The biggest common factor number is the GCF number.
So the greatest common factor 81,960,712 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 46/81, 14/960, 458/712

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 46/81, 14/960, 458/712?

Answer: LCM of Numerators as per given numbers 46/81, 14/960, 458/712 is

LCM of Numerators i.e. for 46,14,458 is 73738

GCF of denominators i.e. for 81,960,712 is 1.

Thus, LCM of Fractions is 73738.Finally, LCM of Fractions for 46/81, 14/960, 458/712 is 73738.