Given numbers are 766,288,209,394,642

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

The LCM of 766,288,209,394,642 is 485945485344.

Find LCM of 766,288,209,394,642 with Prime Factorization

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

2 x 3 x 383 x 48 x 209 x 197 x 107 = 485945485344

Therefore, the lowest common multiple of 766,288,209,394,642 is 485945485344.

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.

766 x 288 x 209 x 394 x 642 = 11662691648256

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.

766 : 1, 2, 383, 766

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

209 : 1, 11, 19, 209

394 : 1, 2, 197, 394

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,288,209,394,642, is 1.

Now, the common factors can be found like this.

766:2x 383

288:2x 2x 2x 2x 2x 3x 3

209:11x 19

394:2x 197

642:2x 3x 107

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 = 11662691648256/(1x24)

LCM = 11662691648256/24

LCM = 485945485344

Thus, we can understand that the LCM of 766,288,209,394,642 is 485945485344.

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

• LCM of 224, 271, 353, 558, 556
• LCM of 741, 863, 767, 235, 389
• LCM of 168, 205, 212, 561, 732
• LCM of 710, 103, 149, 591, 883
• LCM of 259, 601, 928, 249, 365

1. What is the LCM of 766, 288, 209, 394, 642?

Answer: LCM of 766, 288, 209, 394, 642 is 485945485344.

2. How to calculate the LCM of 766, 288, 209, 394, 642?

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 766, 288, 209, 394, 642.

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}.