Least Common Multiple of 73/90, 23/96, 29/43, 41/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 73/90, 23/96, 29/43, 41/640 quickly i.e. 1996331 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/90, 23/96, 29/43, 41/640 is 1996331.

LCM(73/90, 23/96, 29/43, 41/640) = 1996331

LCM of 73/90, 23/96, 29/43, 41/640

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 73/90,23/96,29/43,41/640

Given numbers are 73/90,23/96,29/43,41/640

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 73,23,29,41

Least Common Multiple of Numerators i.e. LCM of 73,23,29,41 is 1996331.

GCF of Denominators means GCF of 90,96,43,640 as per the given fractions.

GCF of 90,96,43,640 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,23,29,41

LCM of Fractions 73/90,23/96,29/43,41/640 is 1996331

Given numbers has no common factors except 1. So, there LCM is their product i.e 1996331

Least Common Multiple of 73,23,29,41 with GCF Formula

Least Common Multiple of 73,23,29,41 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 73,23,29,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,23,29,41) = 1

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

GCF(73,23,29,41) x common factors =1 x 1 = 1

LCM(73,23,29,41) = ( 73 × 23 × 29 × 41 ) / 1

LCM(73,23,29,41) = 1996331 / 1

LCM(73,23,29,41) = 1996331


Lets's calculate GCF of 90,96,43,640

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1996331/1

Therefore the LCM of Fractions 73/90,23/96,29/43,41/640 is 1996331

Greatest Common Factor of 90,96,43,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,96,43,640 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 90,96,43,640 . The biggest common factor number is the GCF number.
So the greatest common factor 90,96,43,640 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 73/90, 23/96, 29/43, 41/640

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 73/90, 23/96, 29/43, 41/640?

Answer: LCM of Numerators as per given numbers 73/90, 23/96, 29/43, 41/640 is

LCM of Numerators i.e. for 73,23,29,41 is 1996331

GCF of denominators i.e. for 90,96,43,640 is 1.

Thus, LCM of Fractions is 1996331.Finally, LCM of Fractions for 73/90, 23/96, 29/43, 41/640 is 1996331.