Given numbers are 448,577,484,460

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

The LCM of 448,577,484,460 is 3596971840.

Find LCM of 448,577,484,460 with Prime Factorization

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

2 x 2 x 112 x 577 x 121 x 115 = 3596971840

Therefore, the lowest common multiple of 448,577,484,460 is 3596971840.

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.

448 x 577 x 484 x 460 = 57551549440

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.

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

577 : 1, 577

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,577,484,460, is 1.

Now, the common factors can be found like this.

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

577:577

484:2x 2x 11x 11

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 2 = 16

Therefore, the value for common factors is 16.

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 = 57551549440/(1x16)

LCM = 57551549440/16

LCM = 3596971840

Thus, we can understand that the LCM of 448,577,484,460 is 3596971840.

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

• LCM of 240, 227, 137, 510
• LCM of 660, 836, 792, 197
• LCM of 857, 747, 137, 837
• LCM of 537, 472, 695, 148
• LCM of 592, 584, 304, 981

1. What is the LCM of 448, 577, 484, 460?

Answer: LCM of 448, 577, 484, 460 is 3596971840.

2. How to calculate the LCM of 448, 577, 484, 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 448, 577, 484, 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}.