Least Common Multiple of 498/486, 589/715, 271/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 498/486, 589/715, 271/167 quickly i.e. 79490262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 498/486, 589/715, 271/167 is 79490262.

LCM(498/486, 589/715, 271/167) = 79490262

LCM of 498/486, 589/715, 271/167

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 498/486,589/715,271/167

Given numbers are 498/486,589/715,271/167

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 498,589,271

Least Common Multiple of Numerators i.e. LCM of 498,589,271 is 79490262.

GCF of Denominators means GCF of 486,715,167 as per the given fractions.

GCF of 486,715,167 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 498,589,271

LCM of Fractions 498/486,589/715,271/167 is 79490262

Given numbers has no common factors except 1. So, there LCM is their product i.e 79490262

Least Common Multiple of 498,589,271 with GCF Formula

Least Common Multiple of 498,589,271 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 498,589,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,589,271) = 1

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

GCF(498,589,271) x common factors =1 x 1 = 1

LCM(498,589,271) = ( 498 × 589 × 271 ) / 1

LCM(498,589,271) = 79490262 / 1

LCM(498,589,271) = 79490262


Lets's calculate GCF of 486,715,167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79490262/1

Therefore the LCM of Fractions 498/486,589/715,271/167 is 79490262

Greatest Common Factor of 486,715,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,715,167 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Greatest Common Factor

We found the factors 486,715,167 . The biggest common factor number is the GCF number.
So the greatest common factor 486,715,167 is 1.


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 498/486, 589/715, 271/167

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 498/486, 589/715, 271/167?

Answer: LCM of Numerators as per given numbers 498/486, 589/715, 271/167 is

LCM of Numerators i.e. for 498,589,271 is 79490262

GCF of denominators i.e. for 486,715,167 is 1.

Thus, LCM of Fractions is 79490262.Finally, LCM of Fractions for 498/486, 589/715, 271/167 is 79490262.