Least Common Multiple of 46/73, 59/47, 49/58, 29/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 46/73, 59/47, 49/58, 29/903 quickly i.e. 3856594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/73, 59/47, 49/58, 29/903 is 3856594.

LCM(46/73, 59/47, 49/58, 29/903) = 3856594

LCM of 46/73, 59/47, 49/58, 29/903

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 46/73,59/47,49/58,29/903

Given numbers are 46/73,59/47,49/58,29/903

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 46,59,49,29

Least Common Multiple of Numerators i.e. LCM of 46,59,49,29 is 3856594.

GCF of Denominators means GCF of 73,47,58,903 as per the given fractions.

GCF of 73,47,58,903 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,59,49,29

LCM of Fractions 46/73,59/47,49/58,29/903 is 3856594

Given numbers has no common factors except 1. So, there LCM is their product i.e 3856594

Least Common Multiple of 46,59,49,29 with GCF Formula

Least Common Multiple of 46,59,49,29 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 46,59,49,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,59,49,29) = 1

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

GCF(46,59,49,29) x common factors =1 x 1 = 1

LCM(46,59,49,29) = ( 46 × 59 × 49 × 29 ) / 1

LCM(46,59,49,29) = 3856594 / 1

LCM(46,59,49,29) = 3856594


Lets's calculate GCF of 73,47,58,903

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3856594/1

Therefore the LCM of Fractions 46/73,59/47,49/58,29/903 is 3856594

Greatest Common Factor of 73,47,58,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,47,58,903 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 73,47,58,903 . The biggest common factor number is the GCF number.
So the greatest common factor 73,47,58,903 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 46/73, 59/47, 49/58, 29/903

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 46/73, 59/47, 49/58, 29/903?

Answer: LCM of Numerators as per given numbers 46/73, 59/47, 49/58, 29/903 is

LCM of Numerators i.e. for 46,59,49,29 is 3856594

GCF of denominators i.e. for 73,47,58,903 is 1.

Thus, LCM of Fractions is 3856594.Finally, LCM of Fractions for 46/73, 59/47, 49/58, 29/903 is 3856594.