Given numbers are 393,406,722,291,216

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

The LCM of 393,406,722,291,216 is 201140729496.

Find LCM of 393,406,722,291,216 with Prime Factorization

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

2 x 3 x 131 x 203 x 361 x 97 x 36 = 201140729496

Therefore, the lowest common multiple of 393,406,722,291,216 is 201140729496.

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.

393 x 406 x 722 x 291 x 216 = 7241066261856

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.

393 : 1, 3, 131, 393

406 : 1, 2, 7, 14, 29, 58, 203, 406

722 : 1, 2, 19, 38, 361, 722

291 : 1, 3, 97, 291

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,406,722,291,216, is 1.

Now, the common factors can be found like this.

393:3x 131

406:2x 7x 29

722:2x 19x 19

291:3x 97

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

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 7241066261856/(1x36)

LCM = 7241066261856/36

LCM = 201140729496

Thus, we can understand that the LCM of 393,406,722,291,216 is 201140729496.

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

• LCM of 461, 178, 632, 960, 753
• LCM of 384, 444, 494, 985, 182
• LCM of 578, 326, 492, 200, 889
• LCM of 963, 269, 639, 202, 378
• LCM of 610, 944, 764, 606, 844

1. What is the LCM of 393, 406, 722, 291, 216?

Answer: LCM of 393, 406, 722, 291, 216 is 201140729496.

2. How to calculate the LCM of 393, 406, 722, 291, 216?

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 393, 406, 722, 291, 216.

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}.