Given numbers are 642,201,922,771,288

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

The LCM of 642,201,922,771,288 is 244616144544.

Find LCM of 642,201,922,771,288 with Prime Factorization

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

2 x 3 x 107 x 67 x 461 x 257 x 48 = 244616144544

Therefore, the lowest common multiple of 642,201,922,771,288 is 244616144544.

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.

642 x 201 x 922 x 771 x 288 = 26418543610752

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

201 : 1, 3, 67, 201

922 : 1, 2, 461, 922

771 : 1, 3, 257, 771

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 642,201,922,771,288, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

201:3x 67

922:2x 461

771:3x 257

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 2x 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 26418543610752/(1x108)

LCM = 26418543610752/108

LCM = 244616144544

Thus, we can understand that the LCM of 642,201,922,771,288 is 244616144544.

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

• LCM of 209, 180, 109, 206, 667
• LCM of 482, 720, 721, 190, 123
• LCM of 330, 938, 922, 235, 125
• LCM of 959, 716, 827, 199, 577
• LCM of 228, 667, 904, 526, 132

1. What is the LCM of 642, 201, 922, 771, 288?

Answer: LCM of 642, 201, 922, 771, 288 is 244616144544.

2. How to calculate the LCM of 642, 201, 922, 771, 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 642, 201, 922, 771, 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}.