Given numbers are 748,828,481,264,646

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

The LCM of 748,828,481,264,646 is 2830092408.

Find LCM of 748,828,481,264,646 with Prime Factorization

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

2 x 2 x 3 x 11 x 17 x 1 x 69 x 481 x 2 x 19 = 2830092408

Therefore, the lowest common multiple of 748,828,481,264,646 is 2830092408.

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.

748 x 828 x 481 x 264 x 646 = 50805818908416

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

481 : 1, 13, 37, 481

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,828,481,264,646, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

828:2x 2x 3x 3x 23

481:13x 37

264:2x 2x 2x 3x 11

646:2x 17x 19

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 2x 2x 3x 11x 17 = 17952

Therefore, the value for common factors is 17952.

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 = 50805818908416/(1x17952)

LCM = 50805818908416/17952

LCM = 2830092408

Thus, we can understand that the LCM of 748,828,481,264,646 is 2830092408.

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

• LCM of 814, 522, 723, 448, 108
• LCM of 879, 758, 426, 341, 278
• LCM of 418, 348, 540, 242, 101
• LCM of 485, 680, 245, 545, 780
• LCM of 380, 957, 236, 594, 903

1. What is the LCM of 748, 828, 481, 264, 646?

Answer: LCM of 748, 828, 481, 264, 646 is 2830092408.

2. How to calculate the LCM of 748, 828, 481, 264, 646?

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 748, 828, 481, 264, 646.

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}.