Given numbers are 828,399,432,837,438

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

The LCM of 828,399,432,837,438 is 2990527344.

Find LCM of 828,399,432,837,438 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 23 x 133 x 4 x 31 x 73 = 2990527344

Therefore, the lowest common multiple of 828,399,432,837,438 is 2990527344.

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.

828 x 399 x 432 x 837 x 438 = 52322266410624

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

399 : 1, 3, 7, 19, 21, 57, 133, 399

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

837 : 1, 3, 9, 27, 31, 93, 279, 837

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,399,432,837,438, is 3.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

399:3x 7x 19

432:2x 2x 2x 2x 3x 3x 3

837:3x 3x 3x 31

438:2x 3x 73

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 3x 3x 3x 3x 3x 3 = 5832

Therefore, the value for common factors is 5832.

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 = 52322266410624/(3x5832)

LCM = 52322266410624/17496

LCM = 2990527344

Thus, we can understand that the LCM of 828,399,432,837,438 is 2990527344.

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

• LCM of 468, 681, 366, 844, 250
• LCM of 434, 854, 633, 249, 268
• LCM of 840, 629, 245, 323, 544
• LCM of 601, 520, 262, 929, 978
• LCM of 506, 178, 687, 354, 434

1. What is the LCM of 828, 399, 432, 837, 438?

Answer: LCM of 828, 399, 432, 837, 438 is 2990527344.

2. How to calculate the LCM of 828, 399, 432, 837, 438?

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 828, 399, 432, 837, 438.

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}.