Least Common Multiple of 29/93, 87/19, 43/29, 18/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 29/93, 87/19, 43/29, 18/517 quickly i.e. 22446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/93, 87/19, 43/29, 18/517 is 22446.

LCM(29/93, 87/19, 43/29, 18/517) = 22446

LCM of 29/93, 87/19, 43/29, 18/517

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 29/93,87/19,43/29,18/517

Given numbers are 29/93,87/19,43/29,18/517

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 29,87,43,18

Least Common Multiple of Numerators i.e. LCM of 29,87,43,18 is 22446.

GCF of Denominators means GCF of 93,19,29,517 as per the given fractions.

GCF of 93,19,29,517 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,87,43,18

LCM of Fractions 29/93,87/19,43/29,18/517 is 22446

3 29, 87, 43, 18
29 29, 29, 43, 6
1, 1, 43, 6

∴ So the LCM of the given numbers is 3 x 29 x 1 x 1 x 43 x 6 = 22446

Least Common Multiple of 29,87,43,18 with GCF Formula

Least Common Multiple of 29,87,43,18 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 29,87,43,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,87,43,18) = 1

common factors(in case of two or more numbers have common factors) = 87

GCF(29,87,43,18) x common factors =1 x 87 = 87

LCM(29,87,43,18) = ( 29 × 87 × 43 × 18 ) / 87

LCM(29,87,43,18) = 1952802 / 87

LCM(29,87,43,18) = 22446


Lets's calculate GCF of 93,19,29,517

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22446/1

Therefore the LCM of Fractions 29/93,87/19,43/29,18/517 is 22446

Greatest Common Factor of 93,19,29,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,19,29,517 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 93,19,29,517 . The biggest common factor number is the GCF number.
So the greatest common factor 93,19,29,517 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 29/93, 87/19, 43/29, 18/517

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 29/93, 87/19, 43/29, 18/517?

Answer: LCM of Numerators as per given numbers 29/93, 87/19, 43/29, 18/517 is

LCM of Numerators i.e. for 29,87,43,18 is 22446

GCF of denominators i.e. for 93,19,29,517 is 1.

Thus, LCM of Fractions is 22446.Finally, LCM of Fractions for 29/93, 87/19, 43/29, 18/517 is 22446.