Least Common Multiple of 217/454, 289/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/454, 289/436 quickly i.e. 62713/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/454, 289/436 is 62713/2.

LCM(217/454, 289/436) = 62713/2

LCM of 217/454, 289/436

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 217/454,289/436

Given numbers are 217/454,289/436

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 217,289

Least Common Multiple of Numerators i.e. LCM of 217,289 is 62713.

GCF of Denominators means GCF of 454,436 as per the given fractions.

GCF of 454,436 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,289

LCM of Fractions 217/454,289/436 is 62713/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 62713

Least Common Multiple of 217,289 with GCF Formula

Least Common Multiple of 217,289 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 217,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,289) = 1

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

GCF(217,289) x common factors =1 x 1 = 1

LCM(217,289) = ( 217 × 289 ) / 1

LCM(217,289) = 62713 / 1

LCM(217,289) = 62713


Lets's calculate GCF of 454,436

2 454, 436
227, 218

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62713/2

Therefore the LCM of Fractions 217/454,289/436 is 62713/2

Greatest Common Factor of 454,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,436 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Greatest Common Factor

We found the factors 454,436 . The biggest common factor number is the GCF number.
So the greatest common factor 454,436 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 217/454, 289/436

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 217/454, 289/436?

Answer: LCM of Numerators as per given numbers 217/454, 289/436 is

LCM of Numerators i.e. for 217,289 is 62713

GCF of denominators i.e. for 454,436 is 2.

Thus, LCM of Fractions is 62713/2.Finally, LCM of Fractions for 217/454, 289/436 is 62713/2.