Given numbers are 500,728,836,281,871

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

The LCM of 500,728,836,281,871 is 358070713000.

Find LCM of 500,728,836,281,871 with Prime Factorization

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

2 x 2 x 13 x 125 x 14 x 209 x 281 x 67 = 358070713000

Therefore, the lowest common multiple of 500,728,836,281,871 is 358070713000.

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.

500 x 728 x 836 x 281 x 871 = 74478708304000

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.

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

281 : 1, 281

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 500,728,836,281,871, is 1.

Now, the common factors can be found like this.

500:2x 2x 5x 5x 5

728:2x 2x 2x 7x 13

836:2x 2x 11x 19

281:281

871:13x 67

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 13 = 208

Therefore, the value for common factors is 208.

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 = 74478708304000/(1x208)

LCM = 74478708304000/208

LCM = 358070713000

Thus, we can understand that the LCM of 500,728,836,281,871 is 358070713000.

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

• LCM of 330, 809, 812, 898, 195
• LCM of 612, 221, 833, 404, 269
• LCM of 360, 881, 786, 997, 882
• LCM of 642, 151, 910, 404, 922
• LCM of 442, 571, 480, 526, 752

1. What is the LCM of 500, 728, 836, 281, 871?

Answer: LCM of 500, 728, 836, 281, 871 is 358070713000.

2. How to calculate the LCM of 500, 728, 836, 281, 871?

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 500, 728, 836, 281, 871.

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}.