Given numbers are 217,522,621,900,767

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

The LCM of 217,522,621,900,767 is 299739995100.

Find LCM of 217,522,621,900,767 with Prime Factorization

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

2 x 3 x 3 x 217 x 29 x 69 x 50 x 767 = 299739995100

Therefore, the lowest common multiple of 217,522,621,900,767 is 299739995100.

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.

217 x 522 x 621 x 900 x 767 = 48557879206200

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.

217 : 1, 7, 31, 217

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

621 : 1, 3, 9, 23, 27, 69, 207, 621

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,522,621,900,767, is 1.

Now, the common factors can be found like this.

217:7x 31

522:2x 3x 3x 29

621:3x 3x 3x 23

900:2x 2x 3x 3x 5x 5

767:13x 59

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

2x 3x 3x 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 48557879206200/(1x162)

LCM = 48557879206200/162

LCM = 299739995100

Thus, we can understand that the LCM of 217,522,621,900,767 is 299739995100.

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

• LCM of 882, 831, 538, 494, 652
• LCM of 996, 106, 482, 118, 342
• LCM of 283, 879, 799, 302, 507
• LCM of 750, 453, 748, 217, 537
• LCM of 410, 187, 830, 589, 885

1. What is the LCM of 217, 522, 621, 900, 767?

Answer: LCM of 217, 522, 621, 900, 767 is 299739995100.

2. How to calculate the LCM of 217, 522, 621, 900, 767?

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 217, 522, 621, 900, 767.

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}.