Least Common Multiple of 29/18, 99/58, 86/82, 329/94

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 29/18, 99/58, 86/82, 329/94 quickly i.e. 40616037 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/18, 99/58, 86/82, 329/94 is 40616037.

LCM(29/18, 99/58, 86/82, 329/94) = 40616037

LCM of 29/18, 99/58, 86/82, 329/94

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 29/18,99/58,86/82,329/94

Given numbers are 29/18,99/58,86/82,329/94

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 29,99,86,329

Least Common Multiple of Numerators i.e. LCM of 29,99,86,329 is 81232074.

GCF of Denominators means GCF of 18,58,82,94 as per the given fractions.

GCF of 18,58,82,94 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,99,86,329

LCM of Fractions 29/18,99/58,86/82,329/94 is 40616037

Given numbers has no common factors except 1. So, there LCM is their product i.e 81232074

Least Common Multiple of 29,99,86,329 with GCF Formula

Least Common Multiple of 29,99,86,329 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 29,99,86,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,99,86,329) = 1

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

GCF(29,99,86,329) x common factors =1 x 1 = 1

LCM(29,99,86,329) = ( 29 × 99 × 86 × 329 ) / 1

LCM(29,99,86,329) = 81232074 / 1

LCM(29,99,86,329) = 81232074


Lets's calculate GCF of 18,58,82,94

2 18, 58, 82, 94
9, 29, 41, 47

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81232074/2

Therefore the LCM of Fractions 29/18,99/58,86/82,329/94 is 40616037

Greatest Common Factor of 18,58,82,94 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,58,82,94 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 58

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

1,2,29,58

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Greatest Common Factor

We found the factors 18,58,82,94 . The biggest common factor number is the GCF number.
So the greatest common factor 18,58,82,94 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 29/18, 99/58, 86/82, 329/94

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 29/18, 99/58, 86/82, 329/94?

Answer: LCM of Numerators as per given numbers 29/18, 99/58, 86/82, 329/94 is

LCM of Numerators i.e. for 29,99,86,329 is 81232074

GCF of denominators i.e. for 18,58,82,94 is 2.

Thus, LCM of Fractions is 40616037.Finally, LCM of Fractions for 29/18, 99/58, 86/82, 329/94 is 40616037.