Given numbers are 201,675,516,418,692

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

The LCM of 201,675,516,418,692 is 281254455900.

Find LCM of 201,675,516,418,692 with Prime Factorization

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

2 x 2 x 3 x 67 x 225 x 43 x 209 x 173 = 281254455900

Therefore, the lowest common multiple of 201,675,516,418,692 is 281254455900.

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.

201 x 675 x 516 x 418 x 692 = 20250320824800

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.

201 : 1, 3, 67, 201

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

418 : 1, 2, 11, 19, 22, 38, 209, 418

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,675,516,418,692, is 1.

Now, the common factors can be found like this.

201:3x 67

675:3x 3x 3x 5x 5

516:2x 2x 3x 43

418:2x 11x 19

692:2x 2x 173

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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 20250320824800/(1x72)

LCM = 20250320824800/72

LCM = 281254455900

Thus, we can understand that the LCM of 201,675,516,418,692 is 281254455900.

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

• LCM of 166, 457, 666, 644, 775
• LCM of 844, 782, 746, 634, 482
• LCM of 819, 521, 543, 627, 872
• LCM of 642, 506, 827, 780, 974
• LCM of 655, 972, 666, 317, 176

1. What is the LCM of 201, 675, 516, 418, 692?

Answer: LCM of 201, 675, 516, 418, 692 is 281254455900.

2. How to calculate the LCM of 201, 675, 516, 418, 692?

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 201, 675, 516, 418, 692.

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}.