Given numbers are 782,468,168,115,669

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

The LCM of 782,468,168,115,669 is 2856442680.

Find LCM of 782,468,168,115,669 with Prime Factorization

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

2 x 2 x 3 x 23 x 17 x 39 x 14 x 5 x 223 = 2856442680

Therefore, the lowest common multiple of 782,468,168,115,669 is 2856442680.

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.

782 x 468 x 168 x 115 x 669 = 4730269078080

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.

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

115 : 1, 5, 23, 115

669 : 1, 3, 223, 669

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,468,168,115,669, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

468:2x 2x 3x 3x 13

168:2x 2x 2x 3x 7

115:5x 23

669:3x 223

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 2x 3x 3x 23 = 1656

Therefore, the value for common factors is 1656.

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 = 4730269078080/(1x1656)

LCM = 4730269078080/1656

LCM = 2856442680

Thus, we can understand that the LCM of 782,468,168,115,669 is 2856442680.

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

• LCM of 862, 868, 828, 332, 598
• LCM of 501, 126, 221, 683, 807
• LCM of 718, 540, 612, 463, 301
• LCM of 908, 314, 578, 917, 205
• LCM of 699, 748, 353, 512, 888

1. What is the LCM of 782, 468, 168, 115, 669?

Answer: LCM of 782, 468, 168, 115, 669 is 2856442680.

2. How to calculate the LCM of 782, 468, 168, 115, 669?

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 782, 468, 168, 115, 669.

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}.