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LCM of 216, 506, 286, 446, 576

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


Find the LCM of 216, 506, 286, 446, 576 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 216, 506, 286, 446, 576. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 216,506,286,446,576

Given numbers are 216,506,286,446,576

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

The LCM of 216,506,286,446,576 is 1267396416.

Find LCM of 216,506,286,446,576 with Prime Factorization


2 216, 506, 286, 446, 576
2 108, 253, 143, 223, 288
2 54, 253, 143, 223, 144
3 27, 253, 143, 223, 72
3 9, 253, 143, 223, 24
11 3, 253, 143, 223, 8
3, 23, 13, 223, 8

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

2 x 2 x 2 x 3 x 3 x 11 x 3 x 23 x 13 x 223 x 8 = 1267396416

Therefore, the lowest common multiple of 216,506,286,446,576 is 1267396416.

LCM Formula to Find Lowest Common Multiple of 216,506,286,446,576

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.

216 x 506 x 286 x 446 x 576 = 8030223691776

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.

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

286 : 1, 2, 11, 13, 22, 26, 143, 286

446 : 1, 2, 223, 446

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,506,286,446,576, is 2.

Now, the common factors can be found like this.

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

506:2x 11x 23

286:2x 11x 13

446:2x 223

576:2x 2x 2x 2x 2x 2x 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 2x 2x 2x 3x 3x 11 = 3168

Therefore, the value for common factors is 3168.

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 = 8030223691776/(2x3168)

LCM = 8030223691776/6336

LCM = 1267396416

Thus, we can understand that the LCM of 216,506,286,446,576 is 1267396416.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 216, 506, 286, 446, 576

1. What is the LCM of 216, 506, 286, 446, 576?

Answer: LCM of 216, 506, 286, 446, 576 is 1267396416.

2. How to calculate the LCM of 216, 506, 286, 446, 576?

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 216, 506, 286, 446, 576.

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}.