Given numbers are 578,201,642,717

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

The LCM of 578,201,642,717 is 2971019994.

Find LCM of 578,201,642,717 with Prime Factorization

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

2 x 3 x 289 x 67 x 107 x 239 = 2971019994

Therefore, the lowest common multiple of 578,201,642,717 is 2971019994.

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.

578 x 201 x 642 x 717 = 53478359892

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.

578 : 1, 2, 17, 34, 289, 578

201 : 1, 3, 67, 201

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

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,201,642,717, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

201:3x 67

642:2x 3x 107

717:3x 239

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 53478359892/(1x18)

LCM = 53478359892/18

LCM = 2971019994

Thus, we can understand that the LCM of 578,201,642,717 is 2971019994.

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

• LCM of 205, 572, 162, 800
• LCM of 914, 783, 506, 208
• LCM of 977, 488, 481, 821
• LCM of 165, 946, 639, 767
• LCM of 423, 566, 231, 546

1. What is the LCM of 578, 201, 642, 717?

Answer: LCM of 578, 201, 642, 717 is 2971019994.

2. How to calculate the LCM of 578, 201, 642, 717?

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 578, 201, 642, 717.

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}.