Given numbers are 642,417,720,393,699

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

The LCM of 642,417,720,393,699 is 326857376880.

Find LCM of 642,417,720,393,699 with Prime Factorization

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

2 x 3 x 107 x 139 x 120 x 131 x 233 = 326857376880

Therefore, the lowest common multiple of 642,417,720,393,699 is 326857376880.

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.

642 x 417 x 720 x 393 x 699 = 52950895054560

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.

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

417 : 1, 3, 139, 417

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

393 : 1, 3, 131, 393

699 : 1, 3, 233, 699

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,417,720,393,699, is 3.

Now, the common factors can be found like this.

642:2x 3x 107

417:3x 139

720:2x 2x 2x 2x 3x 3x 5

393:3x 131

699:3x 233

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 52950895054560/(3x54)

LCM = 52950895054560/162

LCM = 326857376880

Thus, we can understand that the LCM of 642,417,720,393,699 is 326857376880.

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

• LCM of 183, 917, 906, 443, 155
• LCM of 776, 921, 942, 809, 249
• LCM of 315, 447, 559, 455, 134
• LCM of 924, 332, 747, 474, 787
• LCM of 373, 949, 393, 146, 511

1. What is the LCM of 642, 417, 720, 393, 699?

Answer: LCM of 642, 417, 720, 393, 699 is 326857376880.

2. How to calculate the LCM of 642, 417, 720, 393, 699?

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 642, 417, 720, 393, 699.

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}.