Given numbers are 828,418,432,515

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

The LCM of 828,418,432,515 is 1069461360.

Find LCM of 828,418,432,515 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 209 x 12 x 515 = 1069461360

Therefore, the lowest common multiple of 828,418,432,515 is 1069461360.

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 418 x 432 x 515 = 77001217920

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

418 : 1, 2, 11, 19, 22, 38, 209, 418

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

515 : 1, 5, 103, 515

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,418,432,515, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

418:2x 11x 19

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

515:5x 103

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 3 = 72

Therefore, the value for common factors is 72.

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 = 77001217920/(1x72)

LCM = 77001217920/72

LCM = 1069461360

Thus, we can understand that the LCM of 828,418,432,515 is 1069461360.

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

• LCM of 440, 514, 799, 623
• LCM of 756, 224, 253, 352
• LCM of 530, 839, 514, 507
• LCM of 723, 572, 359, 953
• LCM of 945, 331, 716, 945

1. What is the LCM of 828, 418, 432, 515?

Answer: LCM of 828, 418, 432, 515 is 1069461360.

2. How to calculate the LCM of 828, 418, 432, 515?

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, 418, 432, 515.

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}.