Given numbers are 536,288,246,516,568

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

The LCM of 536,288,246,516,568 is 2415338208.

Find LCM of 536,288,246,516,568 with Prime Factorization

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

2 x 2 x 2 x 3 x 67 x 12 x 41 x 43 x 71 = 2415338208

Therefore, the lowest common multiple of 536,288,246,516,568 is 2415338208.

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.

536 x 288 x 246 x 516 x 568 = 11129878462464

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.

536 : 1, 2, 4, 8, 67, 134, 268, 536

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

246 : 1, 2, 3, 6, 41, 82, 123, 246

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

568 : 1, 2, 4, 8, 71, 142, 284, 568

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,288,246,516,568, is 2.

Now, the common factors can be found like this.

536:2x 2x 2x 67

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

246:2x 3x 41

516:2x 2x 3x 43

568:2x 2x 2x 71

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 2x 2x 2x 2x 2x 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 11129878462464/(2x2304)

LCM = 11129878462464/4608

LCM = 2415338208

Thus, we can understand that the LCM of 536,288,246,516,568 is 2415338208.

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

• LCM of 848, 981, 825, 920, 775
• LCM of 991, 904, 234, 410, 781
• LCM of 515, 333, 566, 499, 783
• LCM of 356, 898, 960, 630, 329
• LCM of 805, 111, 180, 407, 160

1. What is the LCM of 536, 288, 246, 516, 568?

Answer: LCM of 536, 288, 246, 516, 568 is 2415338208.

2. How to calculate the LCM of 536, 288, 246, 516, 568?

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 536, 288, 246, 516, 568.

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}.