Given numbers are 820,816,239,484,728

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

The LCM of 820,816,239,484,728 is 440218899120.

Find LCM of 820,816,239,484,728 with Prime Factorization

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

2 x 2 x 2 x 205 x 102 x 239 x 121 x 91 = 440218899120

Therefore, the lowest common multiple of 820,816,239,484,728 is 440218899120.

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.

820 x 816 x 239 x 484 x 728 = 56348019087360

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.

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

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

239 : 1, 239

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,816,239,484,728, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

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

239:239

484:2x 2x 11x 11

728:2x 2x 2x 7x 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 2x 2x 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 56348019087360/(1x128)

LCM = 56348019087360/128

LCM = 440218899120

Thus, we can understand that the LCM of 820,816,239,484,728 is 440218899120.

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

• LCM of 271, 634, 703, 426, 604
• LCM of 463, 937, 679, 272, 318
• LCM of 463, 660, 567, 276, 743
• LCM of 300, 556, 264, 866, 473
• LCM of 158, 299, 428, 365, 587

1. What is the LCM of 820, 816, 239, 484, 728?

Answer: LCM of 820, 816, 239, 484, 728 is 440218899120.

2. How to calculate the LCM of 820, 816, 239, 484, 728?

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 820, 816, 239, 484, 728.

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}.