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LCM of 825, 638, 514, 216

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


Find the LCM of 825, 638, 514, 216 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 825, 638, 514, 216. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 825,638,514,216

Given numbers are 825,638,514,216

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

The LCM of 825,638,514,216 is 442708200.

Find LCM of 825,638,514,216 with Prime Factorization


2 825, 638, 514, 216
3 825, 319, 257, 108
11 275, 319, 257, 36
25, 29, 257, 36

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

2 x 3 x 11 x 25 x 29 x 257 x 36 = 442708200

Therefore, the lowest common multiple of 825,638,514,216 is 442708200.

LCM Formula to Find Lowest Common Multiple of 825,638,514,216

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.

825 x 638 x 514 x 216 = 58437482400

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.

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

638 : 1, 2, 11, 22, 29, 58, 319, 638

514 : 1, 2, 257, 514

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,638,514,216, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

638:2x 11x 29

514:2x 257

216:2x 2x 2x 3x 3x 3

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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 58437482400/(1x132)

LCM = 58437482400/132

LCM = 442708200

Thus, we can understand that the LCM of 825,638,514,216 is 442708200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 825, 638, 514, 216

1. What is the LCM of 825, 638, 514, 216?

Answer: LCM of 825, 638, 514, 216 is 442708200.

2. How to calculate the LCM of 825, 638, 514, 216?

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 825, 638, 514, 216.

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}.