Given numbers are 214,461,218,772,297

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

The LCM of 214,461,218,772,297 is 1232778213612.

Find LCM of 214,461,218,772,297 with Prime Factorization

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

2 x 107 x 461 x 109 x 386 x 297 = 1232778213612

Therefore, the lowest common multiple of 214,461,218,772,297 is 1232778213612.

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.

214 x 461 x 218 x 772 x 297 = 4931112854448

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.

214 : 1, 2, 107, 214

461 : 1, 461

218 : 1, 2, 109, 218

772 : 1, 2, 4, 193, 386, 772

297 : 1, 3, 9, 11, 27, 33, 99, 297

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,461,218,772,297, is 1.

Now, the common factors can be found like this.

214:2x 107

461:461

218:2x 109

772:2x 2x 193

297:3x 3x 3x 11

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 = 4931112854448/(1x4)

LCM = 4931112854448/4

LCM = 1232778213612

Thus, we can understand that the LCM of 214,461,218,772,297 is 1232778213612.

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

• LCM of 971, 641, 557, 972, 822
• LCM of 578, 417, 116, 899, 769
• LCM of 208, 614, 783, 790, 264
• LCM of 960, 732, 364, 370, 376
• LCM of 798, 479, 950, 536, 856

1. What is the LCM of 214, 461, 218, 772, 297?

Answer: LCM of 214, 461, 218, 772, 297 is 1232778213612.

2. How to calculate the LCM of 214, 461, 218, 772, 297?

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 214, 461, 218, 772, 297.

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}.