Given numbers are 490,579,448,797,682

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

The LCM of 490,579,448,797,682 is 2467387285440.

Find LCM of 490,579,448,797,682 with Prime Factorization

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

2 x 7 x 35 x 579 x 32 x 797 x 341 = 2467387285440

Therefore, the lowest common multiple of 490,579,448,797,682 is 2467387285440.

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.

490 x 579 x 448 x 797 x 682 = 69086843992320

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

579 : 1, 3, 193, 579

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

797 : 1, 797

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,579,448,797,682, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

579:3x 193

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

797:797

682:2x 11x 31

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 7 = 28

Therefore, the value for common factors is 28.

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 = 69086843992320/(1x28)

LCM = 69086843992320/28

LCM = 2467387285440

Thus, we can understand that the LCM of 490,579,448,797,682 is 2467387285440.

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

• LCM of 754, 855, 830, 976, 209
• LCM of 199, 235, 844, 617, 387
• LCM of 860, 246, 763, 277, 238
• LCM of 185, 847, 973, 696, 419
• LCM of 128, 417, 533, 541, 208

1. What is the LCM of 490, 579, 448, 797, 682?

Answer: LCM of 490, 579, 448, 797, 682 is 2467387285440.

2. How to calculate the LCM of 490, 579, 448, 797, 682?

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 490, 579, 448, 797, 682.

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}.