Given numbers are 438,856,520,214,364

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

The LCM of 438,856,520,214,364 is 85296120.

Find LCM of 438,856,520,214,364 with Prime Factorization

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

2 x 2 x 2 x 13 x 107 x 219 x 1 x 5 x 1 x 7 = 85296120

Therefore, the lowest common multiple of 438,856,520,214,364 is 85296120.

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.

438 x 856 x 520 x 214 x 364 = 15186803573760

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

856 : 1, 2, 4, 8, 107, 214, 428, 856

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

214 : 1, 2, 107, 214

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,856,520,214,364, is 2.

Now, the common factors can be found like this.

438:2x 3x 73

856:2x 2x 2x 107

520:2x 2x 2x 5x 13

214:2x 107

364:2x 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 13x 107 = 89024

Therefore, the value for common factors is 89024.

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 = 15186803573760/(2x89024)

LCM = 15186803573760/178048

LCM = 85296120

Thus, we can understand that the LCM of 438,856,520,214,364 is 85296120.

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

• LCM of 386, 988, 612, 551, 112
• LCM of 614, 761, 822, 373, 747
• LCM of 333, 702, 287, 305, 498
• LCM of 174, 539, 650, 262, 680
• LCM of 657, 600, 584, 387, 828

1. What is the LCM of 438, 856, 520, 214, 364?

Answer: LCM of 438, 856, 520, 214, 364 is 85296120.

2. How to calculate the LCM of 438, 856, 520, 214, 364?

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 438, 856, 520, 214, 364.

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}.