Given numbers are 216,762,522,575,639

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

The LCM of 216,762,522,575,639 is 32477430600.

Find LCM of 216,762,522,575,639 with Prime Factorization

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

2 x 3 x 3 x 12 x 127 x 29 x 575 x 71 = 32477430600

Therefore, the lowest common multiple of 216,762,522,575,639 is 32477430600.

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.

216 x 762 x 522 x 575 x 639 = 31568062543200

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.

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

762 : 1, 2, 3, 6, 127, 254, 381, 762

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

575 : 1, 5, 23, 25, 115, 575

639 : 1, 3, 9, 71, 213, 639

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,762,522,575,639, is 1.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

762:2x 3x 127

522:2x 3x 3x 29

575:5x 5x 23

639:3x 3x 71

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 3x 3x 3x 3x 3 = 972

Therefore, the value for common factors is 972.

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 = 31568062543200/(1x972)

LCM = 31568062543200/972

LCM = 32477430600

Thus, we can understand that the LCM of 216,762,522,575,639 is 32477430600.

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

• LCM of 834, 708, 961, 326, 117
• LCM of 540, 687, 903, 695, 395
• LCM of 638, 835, 320, 921, 252
• LCM of 508, 950, 567, 744, 338
• LCM of 587, 213, 771, 106, 692

1. What is the LCM of 216, 762, 522, 575, 639?

Answer: LCM of 216, 762, 522, 575, 639 is 32477430600.

2. How to calculate the LCM of 216, 762, 522, 575, 639?

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 216, 762, 522, 575, 639.

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}.