Given numbers are 648,448,862,460

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

The LCM of 648,448,862,460 is 1798614720.

Find LCM of 648,448,862,460 with Prime Factorization

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

2 x 2 x 2 x 81 x 56 x 431 x 115 = 1798614720

Therefore, the lowest common multiple of 648,448,862,460 is 1798614720.

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.

648 x 448 x 862 x 460 = 115111342080

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.

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

862 : 1, 2, 431, 862

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,448,862,460, is 2.

Now, the common factors can be found like this.

648:2x 2x 2x 3x 3x 3x 3

448:2x 2x 2x 2x 2x 2x 7

862:2x 431

460:2x 2x 5x 23

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 2 = 32

Therefore, the value for common factors is 32.

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 = 115111342080/(2x32)

LCM = 115111342080/64

LCM = 1798614720

Thus, we can understand that the LCM of 648,448,862,460 is 1798614720.

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

• LCM of 936, 172, 380, 257
• LCM of 149, 158, 173, 649
• LCM of 620, 849, 265, 640
• LCM of 175, 824, 526, 298
• LCM of 732, 520, 121, 620

1. What is the LCM of 648, 448, 862, 460?

Answer: LCM of 648, 448, 862, 460 is 1798614720.

2. How to calculate the LCM of 648, 448, 862, 460?

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 648, 448, 862, 460.

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}.