Least Common Multiple of 9/14, 5/82, 73/86, 29/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/14, 5/82, 73/86, 29/298 quickly i.e. 95265/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/14, 5/82, 73/86, 29/298 is 95265/2.

LCM(9/14, 5/82, 73/86, 29/298) = 95265/2

LCM of 9/14, 5/82, 73/86, 29/298

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 9/14,5/82,73/86,29/298

Given numbers are 9/14,5/82,73/86,29/298

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 9,5,73,29

Least Common Multiple of Numerators i.e. LCM of 9,5,73,29 is 95265.

GCF of Denominators means GCF of 14,82,86,298 as per the given fractions.

GCF of 14,82,86,298 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,5,73,29

LCM of Fractions 9/14,5/82,73/86,29/298 is 95265/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 95265

Least Common Multiple of 9,5,73,29 with GCF Formula

Least Common Multiple of 9,5,73,29 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 9,5,73,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,5,73,29) = 1

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

GCF(9,5,73,29) x common factors =1 x 1 = 1

LCM(9,5,73,29) = ( 9 × 5 × 73 × 29 ) / 1

LCM(9,5,73,29) = 95265 / 1

LCM(9,5,73,29) = 95265


Lets's calculate GCF of 14,82,86,298

2 14, 82, 86, 298
7, 41, 43, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95265/2

Therefore the LCM of Fractions 9/14,5/82,73/86,29/298 is 95265/2

Greatest Common Factor of 14,82,86,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,82,86,298 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 82

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

1,2,41,82

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 14,82,86,298 . The biggest common factor number is the GCF number.
So the greatest common factor 14,82,86,298 is 2.


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 9/14, 5/82, 73/86, 29/298

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 9/14, 5/82, 73/86, 29/298?

Answer: LCM of Numerators as per given numbers 9/14, 5/82, 73/86, 29/298 is

LCM of Numerators i.e. for 9,5,73,29 is 95265

GCF of denominators i.e. for 14,82,86,298 is 2.

Thus, LCM of Fractions is 95265/2.Finally, LCM of Fractions for 9/14, 5/82, 73/86, 29/298 is 95265/2.