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LCM of 644, 648, 464, 684, 441

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


Find the LCM of 644, 648, 464, 684, 441 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 644, 648, 464, 684, 441. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 644,648,464,684,441

Given numbers are 644,648,464,684,441

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

The LCM of 644,648,464,684,441 is 804786192.

Find LCM of 644,648,464,684,441 with Prime Factorization


2 644, 648, 464, 684, 441
2 322, 324, 232, 342, 441
2 161, 162, 116, 171, 441
3 161, 81, 58, 171, 441
3 161, 27, 58, 57, 147
7 161, 9, 58, 19, 49
23, 9, 58, 19, 7

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

2 x 2 x 2 x 3 x 3 x 7 x 23 x 9 x 58 x 19 x 7 = 804786192

Therefore, the lowest common multiple of 644,648,464,684,441 is 804786192.

LCM Formula to Find Lowest Common Multiple of 644,648,464,684,441

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.

644 x 648 x 464 x 684 x 441 = 58408162670592

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,648,464,684,441, is 1.

Now, the common factors can be found like this.

644:2x 2x 7x 23

648:2x 2x 2x 3x 3x 3x 3

464:2x 2x 2x 2x 29

684:2x 2x 3x 3x 19

441:3x 3x 7x 7

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

2x 2x 2x 2x 2x 2x 2x 3x 3x 3x 3x 7 = 72576

Therefore, the value for common factors is 72576.

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 = 58408162670592/(1x72576)

LCM = 58408162670592/72576

LCM = 804786192

Thus, we can understand that the LCM of 644,648,464,684,441 is 804786192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 644, 648, 464, 684, 441

1. What is the LCM of 644, 648, 464, 684, 441?

Answer: LCM of 644, 648, 464, 684, 441 is 804786192.

2. How to calculate the LCM of 644, 648, 464, 684, 441?

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 644, 648, 464, 684, 441.

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}.