Given numbers are 869,517,432,385

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

The LCM of 869,517,432,385 is 617546160.

Find LCM of 869,517,432,385 with Prime Factorization

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

11 x 79 x 47 x 432 x 35 = 617546160

Therefore, the lowest common multiple of 869,517,432,385 is 617546160.

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.

869 x 517 x 432 x 385 = 74723085360

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.

869 : 1, 11, 79, 869

517 : 1, 11, 47, 517

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

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,517,432,385, is 1.

Now, the common factors can be found like this.

869:11x 79

517:11x 47

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

385:5x 7x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 74723085360/(1x121)

LCM = 74723085360/121

LCM = 617546160

Thus, we can understand that the LCM of 869,517,432,385 is 617546160.

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

• LCM of 794, 869, 254, 571
• LCM of 581, 272, 765, 461
• LCM of 351, 385, 787, 414
• LCM of 806, 958, 750, 849
• LCM of 602, 370, 749, 568

1. What is the LCM of 869, 517, 432, 385?

Answer: LCM of 869, 517, 432, 385 is 617546160.

2. How to calculate the LCM of 869, 517, 432, 385?

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 869, 517, 432, 385.

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}.