Given numbers are 642,321,515,192,365

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

The LCM of 642,321,515,192,365 is 772351680.

Find LCM of 642,321,515,192,365 with Prime Factorization

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

2 x 3 x 5 x 107 x 1 x 1 x 103 x 32 x 73 = 772351680

Therefore, the lowest common multiple of 642,321,515,192,365 is 772351680.

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 321 x 515 x 192 x 365 = 7437746678400

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

321 : 1, 3, 107, 321

515 : 1, 5, 103, 515

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,321,515,192,365, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

321:3x 107

515:5x 103

192:2x 2x 2x 2x 2x 2x 3

365:5x 73

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 5x 107 = 9630

Therefore, the value for common factors is 9630.

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 = 7437746678400/(1x9630)

LCM = 7437746678400/9630

LCM = 772351680

Thus, we can understand that the LCM of 642,321,515,192,365 is 772351680.

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

• LCM of 967, 957, 736, 630, 931
• LCM of 711, 874, 774, 343, 572
• LCM of 237, 731, 567, 462, 315
• LCM of 199, 512, 503, 836, 426
• LCM of 994, 770, 881, 941, 886

1. What is the LCM of 642, 321, 515, 192, 365?

Answer: LCM of 642, 321, 515, 192, 365 is 772351680.

2. How to calculate the LCM of 642, 321, 515, 192, 365?

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, 321, 515, 192, 365.

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}.