Least Common Multiple of 9/498, 55/174, 59/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/498, 55/174, 59/332 quickly i.e. 29205/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/498, 55/174, 59/332 is 29205/2.

LCM(9/498, 55/174, 59/332) = 29205/2

LCM of 9/498, 55/174, 59/332

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 9/498,55/174,59/332

Given numbers are 9/498,55/174,59/332

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 9,55,59

Least Common Multiple of Numerators i.e. LCM of 9,55,59 is 29205.

GCF of Denominators means GCF of 498,174,332 as per the given fractions.

GCF of 498,174,332 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,55,59

LCM of Fractions 9/498,55/174,59/332 is 29205/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 29205

Least Common Multiple of 9,55,59 with GCF Formula

Least Common Multiple of 9,55,59 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 9,55,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,55,59) = 1

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

GCF(9,55,59) x common factors =1 x 1 = 1

LCM(9,55,59) = ( 9 × 55 × 59 ) / 1

LCM(9,55,59) = 29205 / 1

LCM(9,55,59) = 29205


Lets's calculate GCF of 498,174,332

2 498, 174, 332
249, 87, 166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29205/2

Therefore the LCM of Fractions 9/498,55/174,59/332 is 29205/2

Greatest Common Factor of 498,174,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,174,332 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 498,174,332 . The biggest common factor number is the GCF number.
So the greatest common factor 498,174,332 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 9/498, 55/174, 59/332

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 9/498, 55/174, 59/332?

Answer: LCM of Numerators as per given numbers 9/498, 55/174, 59/332 is

LCM of Numerators i.e. for 9,55,59 is 29205

GCF of denominators i.e. for 498,174,332 is 2.

Thus, LCM of Fractions is 29205/2.Finally, LCM of Fractions for 9/498, 55/174, 59/332 is 29205/2.