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LCM of 221, 437, 589, 817

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 221, 437, 589, 817 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 221, 437, 589, 817. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,437,589,817

Given numbers are 221,437,589,817

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 221,437,589,817 is 128737141.

Find LCM of 221,437,589,817 with Prime Factorization


19 221, 437, 589, 817
221, 23, 31, 43

Multiply the prime numbers at the bottom and the left side.

19 x 221 x 23 x 31 x 43 = 128737141

Therefore, the lowest common multiple of 221,437,589,817 is 128737141.

LCM Formula to Find Lowest Common Multiple of 221,437,589,817

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

221 x 437 x 589 x 817 = 46474107901

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

221 : 1, 13, 17, 221

437 : 1, 19, 23, 437

589 : 1, 19, 31, 589

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,437,589,817, is 1.

Now, the common factors can be found like this.

221:13x 17

437:19x 23

589:19x 31

817:19x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

19x 19 = 361

Therefore, the value for common factors is 361.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 46474107901/(1x361)

LCM = 46474107901/361

LCM = 128737141

Thus, we can understand that the LCM of 221,437,589,817 is 128737141.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 437, 589, 817

1. What is the LCM of 221, 437, 589, 817?

Answer: LCM of 221, 437, 589, 817 is 128737141.

2. How to calculate the LCM of 221, 437, 589, 817?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 221, 437, 589, 817.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.