Given numbers are 821,448,128,316,990

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

The LCM of 821,448,128,316,990 is 28766263680.

Find LCM of 821,448,128,316,990 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 821 x 7 x 2 x 79 x 495 = 28766263680

Therefore, the lowest common multiple of 821,448,128,316,990 is 28766263680.

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.

821 x 448 x 128 x 316 x 990 = 14728327004160

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.

821 : 1, 821

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

316 : 1, 2, 4, 79, 158, 316

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,448,128,316,990, is 1.

Now, the common factors can be found like this.

821:821

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

128:2x 2x 2x 2x 2x 2x 2

316:2x 2x 79

990:2x 3x 3x 5x 11

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 2x 2x 2 = 512

Therefore, the value for common factors is 512.

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 = 14728327004160/(1x512)

LCM = 14728327004160/512

LCM = 28766263680

Thus, we can understand that the LCM of 821,448,128,316,990 is 28766263680.

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

• LCM of 693, 564, 446, 519, 626
• LCM of 898, 355, 949, 825, 809
• LCM of 560, 186, 629, 325, 610
• LCM of 746, 525, 202, 268, 460
• LCM of 898, 605, 645, 338, 979

1. What is the LCM of 821, 448, 128, 316, 990?

Answer: LCM of 821, 448, 128, 316, 990 is 28766263680.

2. How to calculate the LCM of 821, 448, 128, 316, 990?

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 821, 448, 128, 316, 990.

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}.