Given numbers are 786,164,207,816,916

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

The LCM of 786,164,207,816,916 is 69251611536.

Find LCM of 786,164,207,816,916 with Prime Factorization

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

2 x 2 x 3 x 131 x 41 x 69 x 68 x 229 = 69251611536

Therefore, the lowest common multiple of 786,164,207,816,916 is 69251611536.

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.

786 x 164 x 207 x 816 x 916 = 19944464122368

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.

786 : 1, 2, 3, 6, 131, 262, 393, 786

164 : 1, 2, 4, 41, 82, 164

207 : 1, 3, 9, 23, 69, 207

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,164,207,816,916, is 1.

Now, the common factors can be found like this.

786:2x 3x 131

164:2x 2x 41

207:3x 3x 23

816:2x 2x 2x 2x 3x 17

916:2x 2x 229

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 19944464122368/(1x288)

LCM = 19944464122368/288

LCM = 69251611536

Thus, we can understand that the LCM of 786,164,207,816,916 is 69251611536.

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

• LCM of 772, 358, 781, 873, 765
• LCM of 906, 592, 569, 594, 512
• LCM of 517, 825, 248, 301, 682
• LCM of 916, 218, 299, 234, 803
• LCM of 654, 859, 809, 599, 824

1. What is the LCM of 786, 164, 207, 816, 916?

Answer: LCM of 786, 164, 207, 816, 916 is 69251611536.

2. How to calculate the LCM of 786, 164, 207, 816, 916?

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 786, 164, 207, 816, 916.

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}.