Least Common Multiple of 212/67, 498/81, 517/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 212/67, 498/81, 517/40 quickly i.e. 27291396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 212/67, 498/81, 517/40 is 27291396.

LCM(212/67, 498/81, 517/40) = 27291396

LCM of 212/67, 498/81, 517/40

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 212/67,498/81,517/40

Given numbers are 212/67,498/81,517/40

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 212,498,517

Least Common Multiple of Numerators i.e. LCM of 212,498,517 is 27291396.

GCF of Denominators means GCF of 67,81,40 as per the given fractions.

GCF of 67,81,40 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 212,498,517

LCM of Fractions 212/67,498/81,517/40 is 27291396

2 212, 498, 517
106, 249, 517

∴ So the LCM of the given numbers is 2 x 106 x 249 x 517 = 27291396

Least Common Multiple of 212,498,517 with GCF Formula

Least Common Multiple of 212,498,517 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 212,498,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,498,517) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(212,498,517) x common factors =1 x 2 = 2

LCM(212,498,517) = ( 212 × 498 × 517 ) / 2

LCM(212,498,517) = 54582792 / 2

LCM(212,498,517) = 27291396


Lets's calculate GCF of 67,81,40

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27291396/1

Therefore the LCM of Fractions 212/67,498/81,517/40 is 27291396

Greatest Common Factor of 67,81,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,81,40 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Greatest Common Factor

We found the factors 67,81,40 . The biggest common factor number is the GCF number.
So the greatest common factor 67,81,40 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 212/67, 498/81, 517/40

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 212/67, 498/81, 517/40?

Answer: LCM of Numerators as per given numbers 212/67, 498/81, 517/40 is

LCM of Numerators i.e. for 212,498,517 is 27291396

GCF of denominators i.e. for 67,81,40 is 1.

Thus, LCM of Fractions is 27291396.Finally, LCM of Fractions for 212/67, 498/81, 517/40 is 27291396.