Given numbers are 216,182,916,310,916

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

The LCM of 216,182,916,310,916 is 697689720.

Find LCM of 216,182,916,310,916 with Prime Factorization

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

2 x 2 x 229 x 54 x 91 x 1 x 155 x 1 = 697689720

Therefore, the lowest common multiple of 216,182,916,310,916 is 697689720.

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.

216 x 182 x 916 x 310 x 916 = 10225340536320

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.

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

182 : 1, 2, 7, 13, 14, 26, 91, 182

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,182,916,310,916, is 2.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

182:2x 7x 13

916:2x 2x 229

310:2x 5x 31

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 229 = 7328

Therefore, the value for common factors is 7328.

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 = 10225340536320/(2x7328)

LCM = 10225340536320/14656

LCM = 697689720

Thus, we can understand that the LCM of 216,182,916,310,916 is 697689720.

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

• LCM of 999, 379, 708, 135, 417
• LCM of 358, 179, 653, 638, 891
• LCM of 133, 788, 897, 727, 170
• LCM of 801, 444, 919, 627, 325
• LCM of 698, 435, 640, 270, 298

1. What is the LCM of 216, 182, 916, 310, 916?

Answer: LCM of 216, 182, 916, 310, 916 is 697689720.

2. How to calculate the LCM of 216, 182, 916, 310, 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 216, 182, 916, 310, 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}.