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LCM of 221, 405, 814, 780

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


Find the LCM of 221, 405, 814, 780 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, 405, 814, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,405,814,780

Given numbers are 221,405,814,780

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

The LCM of 221,405,814,780 is 145714140.

Find LCM of 221,405,814,780 with Prime Factorization


2 221, 405, 814, 780
3 221, 405, 407, 390
5 221, 135, 407, 130
13 221, 27, 407, 26
17, 27, 407, 2

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

2 x 3 x 5 x 13 x 17 x 27 x 407 x 2 = 145714140

Therefore, the lowest common multiple of 221,405,814,780 is 145714140.

LCM Formula to Find Lowest Common Multiple of 221,405,814,780

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 405 x 814 x 780 = 56828514600

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

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

814 : 1, 2, 11, 22, 37, 74, 407, 814

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,405,814,780, is 1.

Now, the common factors can be found like this.

221:13x 17

405:3x 3x 3x 3x 5

814:2x 11x 37

780:2x 2x 3x 5x 13

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

2x 3x 5x 13 = 390

Therefore, the value for common factors is 390.

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 = 56828514600/(1x390)

LCM = 56828514600/390

LCM = 145714140

Thus, we can understand that the LCM of 221,405,814,780 is 145714140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 405, 814, 780

1. What is the LCM of 221, 405, 814, 780?

Answer: LCM of 221, 405, 814, 780 is 145714140.

2. How to calculate the LCM of 221, 405, 814, 780?

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, 405, 814, 780.

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}.