Given numbers are 448,288,506,203,621

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

The LCM of 448,288,506,203,621 is 88748352.

Find LCM of 448,288,506,203,621 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 23 x 2 x 1 x 11 x 29 x 3 = 88748352

Therefore, the lowest common multiple of 448,288,506,203,621 is 88748352.

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 288 x 506 x 203 x 621 = 8230167171072

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

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

506 : 1, 2, 11, 22, 23, 46, 253, 506

203 : 1, 7, 29, 203

621 : 1, 3, 9, 23, 27, 69, 207, 621

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,288,506,203,621, is 1.

Now, the common factors can be found like this.

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

288:2x 2x 2x 2x 2x 3x 3

506:2x 11x 23

203:7x 29

621:3x 3x 3x 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 2x 2x 3x 3x 7x 23 = 92736

Therefore, the value for common factors is 92736.

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 = 8230167171072/(1x92736)

LCM = 8230167171072/92736

LCM = 88748352

Thus, we can understand that the LCM of 448,288,506,203,621 is 88748352.

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

• LCM of 442, 573, 455, 190, 567
• LCM of 271, 811, 640, 320, 514
• LCM of 756, 452, 348, 700, 342
• LCM of 632, 282, 515, 906, 848
• LCM of 486, 766, 300, 166, 708

1. What is the LCM of 448, 288, 506, 203, 621?

Answer: LCM of 448, 288, 506, 203, 621 is 88748352.

2. How to calculate the LCM of 448, 288, 506, 203, 621?

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, 288, 506, 203, 621.

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}.