Least Common Multiple of 46/561, 32/595, 734/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/561, 32/595, 734/712 quickly i.e. 270112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/561, 32/595, 734/712 is 270112.

LCM(46/561, 32/595, 734/712) = 270112

LCM of 46/561, 32/595, 734/712

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 46/561,32/595,734/712

Given numbers are 46/561,32/595,734/712

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 46,32,734

Least Common Multiple of Numerators i.e. LCM of 46,32,734 is 270112.

GCF of Denominators means GCF of 561,595,712 as per the given fractions.

GCF of 561,595,712 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,32,734

LCM of Fractions 46/561,32/595,734/712 is 270112

2 46, 32, 734
23, 16, 367

∴ So the LCM of the given numbers is 2 x 23 x 16 x 367 = 270112

Least Common Multiple of 46,32,734 with GCF Formula

Least Common Multiple of 46,32,734 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 46,32,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,32,734) = 2

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

GCF(46,32,734) x common factors =2 x 2 = 4

LCM(46,32,734) = ( 46 × 32 × 734 ) / 4

LCM(46,32,734) = 1080448 / 4

LCM(46,32,734) = 270112


Lets's calculate GCF of 561,595,712

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270112/1

Therefore the LCM of Fractions 46/561,32/595,734/712 is 270112

Greatest Common Factor of 561,595,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,595,712 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

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 561,595,712 . The biggest common factor number is the GCF number.
So the greatest common factor 561,595,712 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 46/561, 32/595, 734/712

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 46/561, 32/595, 734/712?

Answer: LCM of Numerators as per given numbers 46/561, 32/595, 734/712 is

LCM of Numerators i.e. for 46,32,734 is 270112

GCF of denominators i.e. for 561,595,712 is 1.

Thus, LCM of Fractions is 270112.Finally, LCM of Fractions for 46/561, 32/595, 734/712 is 270112.