Given numbers are 916,217,149,468

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

The LCM of 916,217,149,468 is 3465192276.

Find LCM of 916,217,149,468 with Prime Factorization

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

2 x 2 x 229 x 217 x 149 x 117 = 3465192276

Therefore, the lowest common multiple of 916,217,149,468 is 3465192276.

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.

916 x 217 x 149 x 468 = 13860769104

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.

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

217 : 1, 7, 31, 217

149 : 1, 149

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,217,149,468, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

217:7x 31

149:149

468:2x 2x 3x 3x 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 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 = 13860769104/(1x4)

LCM = 13860769104/4

LCM = 3465192276

Thus, we can understand that the LCM of 916,217,149,468 is 3465192276.

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

• LCM of 901, 304, 152, 558
• LCM of 795, 231, 967, 296
• LCM of 664, 422, 200, 260
• LCM of 816, 132, 557, 947
• LCM of 439, 853, 906, 977

1. What is the LCM of 916, 217, 149, 468?

Answer: LCM of 916, 217, 149, 468 is 3465192276.

2. How to calculate the LCM of 916, 217, 149, 468?

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 916, 217, 149, 468.

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}.