Given numbers are 865,167,106,258,506

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

The LCM of 865,167,106,258,506 is 499745250510.

Find LCM of 865,167,106,258,506 with Prime Factorization

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

2 x 865 x 167 x 53 x 129 x 253 = 499745250510

Therefore, the lowest common multiple of 865,167,106,258,506 is 499745250510.

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.

865 x 167 x 106 x 258 x 506 = 1998981002040

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.

865 : 1, 5, 173, 865

167 : 1, 167

106 : 1, 2, 53, 106

258 : 1, 2, 3, 6, 43, 86, 129, 258

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,167,106,258,506, is 1.

Now, the common factors can be found like this.

865:5x 173

167:167

106:2x 53

258:2x 3x 43

506:2x 11x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1998981002040/(1x4)

LCM = 1998981002040/4

LCM = 499745250510

Thus, we can understand that the LCM of 865,167,106,258,506 is 499745250510.

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

• LCM of 457, 719, 179, 815, 504
• LCM of 207, 643, 434, 213, 168
• LCM of 455, 621, 428, 613, 695
• LCM of 794, 199, 874, 837, 733
• LCM of 385, 512, 744, 155, 947

1. What is the LCM of 865, 167, 106, 258, 506?

Answer: LCM of 865, 167, 106, 258, 506 is 499745250510.

2. How to calculate the LCM of 865, 167, 106, 258, 506?

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 865, 167, 106, 258, 506.

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}.