Given numbers are 108,446,782,614

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

The LCM of 108,446,782,614 is 2890971108.

Find LCM of 108,446,782,614 with Prime Factorization

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

2 x 54 x 223 x 391 x 307 = 2890971108

Therefore, the lowest common multiple of 108,446,782,614 is 2890971108.

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.

108 x 446 x 782 x 614 = 23127768864

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.

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

446 : 1, 2, 223, 446

782 : 1, 2, 17, 23, 34, 46, 391, 782

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,446,782,614, is 2.

Now, the common factors can be found like this.

108:2x 2x 3x 3x 3

446:2x 223

782:2x 17x 23

614:2x 307

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 23127768864/(2x4)

LCM = 23127768864/8

LCM = 2890971108

Thus, we can understand that the LCM of 108,446,782,614 is 2890971108.

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

• LCM of 209, 385, 545, 474
• LCM of 966, 856, 316, 363
• LCM of 520, 602, 934, 704
• LCM of 840, 603, 665, 166
• LCM of 777, 851, 469, 230

1. What is the LCM of 108, 446, 782, 614?

Answer: LCM of 108, 446, 782, 614 is 2890971108.

2. How to calculate the LCM of 108, 446, 782, 614?

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 108, 446, 782, 614.

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}.