Given numbers are 608,389,410,756,286

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

The LCM of 608,389,410,756,286 is 1310403013920.

Find LCM of 608,389,410,756,286 with Prime Factorization

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

2 x 2 x 152 x 389 x 205 x 189 x 143 = 1310403013920

Therefore, the lowest common multiple of 608,389,410,756,286 is 1310403013920.

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.

608 x 389 x 410 x 756 x 286 = 20966448222720

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.

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

389 : 1, 389

410 : 1, 2, 5, 10, 41, 82, 205, 410

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,389,410,756,286, is 1.

Now, the common factors can be found like this.

608:2x 2x 2x 2x 2x 19

389:389

410:2x 5x 41

756:2x 2x 3x 3x 3x 7

286:2x 11x 13

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 2 = 16

Therefore, the value for common factors is 16.

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 = 20966448222720/(1x16)

LCM = 20966448222720/16

LCM = 1310403013920

Thus, we can understand that the LCM of 608,389,410,756,286 is 1310403013920.

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

• LCM of 611, 742, 909, 866, 782
• LCM of 126, 315, 756, 624, 619
• LCM of 321, 810, 505, 776, 756
• LCM of 552, 196, 644, 982, 299
• LCM of 693, 418, 334, 196, 631

1. What is the LCM of 608, 389, 410, 756, 286?

Answer: LCM of 608, 389, 410, 756, 286 is 1310403013920.

2. How to calculate the LCM of 608, 389, 410, 756, 286?

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 608, 389, 410, 756, 286.

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}.