Least Common Multiple of 216/647, 271/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 216/647, 271/424 quickly i.e. 58536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/647, 271/424 is 58536.

LCM(216/647, 271/424) = 58536

LCM of 216/647, 271/424

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 216/647,271/424

Given numbers are 216/647,271/424

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 216,271

Least Common Multiple of Numerators i.e. LCM of 216,271 is 58536.

GCF of Denominators means GCF of 647,424 as per the given fractions.

GCF of 647,424 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,271

LCM of Fractions 216/647,271/424 is 58536

Given numbers has no common factors except 1. So, there LCM is their product i.e 58536

Least Common Multiple of 216,271 with GCF Formula

Least Common Multiple of 216,271 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 216,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,271) = 1

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

GCF(216,271) x common factors =1 x 1 = 1

LCM(216,271) = ( 216 × 271 ) / 1

LCM(216,271) = 58536 / 1

LCM(216,271) = 58536


Lets's calculate GCF of 647,424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58536/1

Therefore the LCM of Fractions 216/647,271/424 is 58536

Greatest Common Factor of 647,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 647,424 By Matching Biggest Common Factor Method

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 647,424 . The biggest common factor number is the GCF number.
So the greatest common factor 647,424 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 216/647, 271/424

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 216/647, 271/424?

Answer: LCM of Numerators as per given numbers 216/647, 271/424 is

LCM of Numerators i.e. for 216,271 is 58536

GCF of denominators i.e. for 647,424 is 1.

Thus, LCM of Fractions is 58536.Finally, LCM of Fractions for 216/647, 271/424 is 58536.