Given numbers are 408,816,808,128,820

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

The LCM of 408,816,808,128,820 is 135162240.

Find LCM of 408,816,808,128,820 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 17 x 1 x 1 x 101 x 8 x 205 = 135162240

Therefore, the lowest common multiple of 408,816,808,128,820 is 135162240.

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.

408 x 816 x 808 x 128 x 820 = 28234851287040

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

808 : 1, 2, 4, 8, 101, 202, 404, 808

128 : 1, 2, 4, 8, 16, 32, 64, 128

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,816,808,128,820, is 4.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

816:2x 2x 2x 2x 3x 17

808:2x 2x 2x 101

128:2x 2x 2x 2x 2x 2x 2

820:2x 2x 5x 41

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 2x 2x 2x 3x 17 = 52224

Therefore, the value for common factors is 52224.

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 = 28234851287040/(4x52224)

LCM = 28234851287040/208896

LCM = 135162240

Thus, we can understand that the LCM of 408,816,808,128,820 is 135162240.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 142, 701, 964, 874, 233
• LCM of 617, 604, 312, 888, 642
• LCM of 661, 269, 220, 685, 222
• LCM of 156, 496, 783, 858, 599
• LCM of 533, 898, 512, 330, 499

1. What is the LCM of 408, 816, 808, 128, 820?

Answer: LCM of 408, 816, 808, 128, 820 is 135162240.

2. How to calculate the LCM of 408, 816, 808, 128, 820?

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 408, 816, 808, 128, 820.

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}.