Given numbers are 353,614,242,733,288

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

The LCM of 353,614,242,733,288 is 2768183741664.

Find LCM of 353,614,242,733,288 with Prime Factorization

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

2 x 353 x 307 x 121 x 733 x 144 = 2768183741664

Therefore, the lowest common multiple of 353,614,242,733,288 is 2768183741664.

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.

353 x 614 x 242 x 733 x 288 = 11072734966656

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.

353 : 1, 353

614 : 1, 2, 307, 614

242 : 1, 2, 11, 22, 121, 242

733 : 1, 733

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,614,242,733,288, is 1.

Now, the common factors can be found like this.

353:353

614:2x 307

242:2x 11x 11

733:733

288:2x 2x 2x 2x 2x 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 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 = 11072734966656/(1x4)

LCM = 11072734966656/4

LCM = 2768183741664

Thus, we can understand that the LCM of 353,614,242,733,288 is 2768183741664.

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

• LCM of 285, 175, 322, 640, 225
• LCM of 435, 887, 713, 949, 296
• LCM of 580, 227, 850, 643, 958
• LCM of 798, 113, 411, 531, 869
• LCM of 700, 741, 604, 407, 866

1. What is the LCM of 353, 614, 242, 733, 288?

Answer: LCM of 353, 614, 242, 733, 288 is 2768183741664.

2. How to calculate the LCM of 353, 614, 242, 733, 288?

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 353, 614, 242, 733, 288.

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}.