Given numbers are 764,217,214,866,442

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

The LCM of 764,217,214,866,442 is 1697528365988.

Find LCM of 764,217,214,866,442 with Prime Factorization

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

2 x 382 x 217 x 107 x 433 x 221 = 1697528365988

Therefore, the lowest common multiple of 764,217,214,866,442 is 1697528365988.

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.

764 x 217 x 214 x 866 x 442 = 13580226927904

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.

764 : 1, 2, 4, 191, 382, 764

217 : 1, 7, 31, 217

214 : 1, 2, 107, 214

866 : 1, 2, 433, 866

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,217,214,866,442, is 1.

Now, the common factors can be found like this.

764:2x 2x 191

217:7x 31

214:2x 107

866:2x 433

442:2x 13x 17

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 2 = 8

Therefore, the value for common factors is 8.

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 = 13580226927904/(1x8)

LCM = 13580226927904/8

LCM = 1697528365988

Thus, we can understand that the LCM of 764,217,214,866,442 is 1697528365988.

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

• LCM of 890, 901, 564, 582, 960
• LCM of 407, 121, 154, 260, 412
• LCM of 881, 715, 361, 570, 595
• LCM of 175, 504, 165, 787, 236
• LCM of 813, 902, 543, 115, 651

1. What is the LCM of 764, 217, 214, 866, 442?

Answer: LCM of 764, 217, 214, 866, 442 is 1697528365988.

2. How to calculate the LCM of 764, 217, 214, 866, 442?

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 764, 217, 214, 866, 442.

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}.