Given numbers are 490,622,642,684,793

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

The LCM of 490,622,642,684,793 is 4422211810380.

Find LCM of 490,622,642,684,793 with Prime Factorization

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

2 x 3 x 245 x 311 x 107 x 114 x 793 = 4422211810380

Therefore, the lowest common multiple of 490,622,642,684,793 is 4422211810380.

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 622 x 642 x 684 x 793 = 106133083449120

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

622 : 1, 2, 311, 622

642 : 1, 2, 3, 6, 107, 214, 321, 642

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

793 : 1, 13, 61, 793

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,622,642,684,793, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

622:2x 311

642:2x 3x 107

684:2x 2x 3x 3x 19

793:13x 61

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 3 = 24

Therefore, the value for common factors is 24.

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 = 106133083449120/(1x24)

LCM = 106133083449120/24

LCM = 4422211810380

Thus, we can understand that the LCM of 490,622,642,684,793 is 4422211810380.

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

• LCM of 749, 852, 285, 779, 304
• LCM of 400, 984, 691, 394, 609
• LCM of 198, 755, 315, 303, 151
• LCM of 498, 672, 995, 703, 757
• LCM of 853, 388, 715, 262, 560

1. What is the LCM of 490, 622, 642, 684, 793?

Answer: LCM of 490, 622, 642, 684, 793 is 4422211810380.

2. How to calculate the LCM of 490, 622, 642, 684, 793?

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, 622, 642, 684, 793.

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}.