Given numbers are 201,266,456,398,428

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

The LCM of 201,266,456,398,428 is 4553806152.

Find LCM of 201,266,456,398,428 with Prime Factorization

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

2 x 2 x 3 x 19 x 67 x 7 x 2 x 199 x 107 = 4553806152

Therefore, the lowest common multiple of 201,266,456,398,428 is 4553806152.

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 266 x 456 x 398 x 428 = 4153071210624

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

266 : 1, 2, 7, 14, 19, 38, 133, 266

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

398 : 1, 2, 199, 398

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,266,456,398,428, is 1.

Now, the common factors can be found like this.

201:3x 67

266:2x 7x 19

456:2x 2x 2x 3x 19

398:2x 199

428:2x 2x 107

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 2x 3x 19 = 912

Therefore, the value for common factors is 912.

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 = 4153071210624/(1x912)

LCM = 4153071210624/912

LCM = 4553806152

Thus, we can understand that the LCM of 201,266,456,398,428 is 4553806152.

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

• LCM of 788, 691, 848, 522, 701
• LCM of 252, 146, 206, 565, 433
• LCM of 429, 495, 858, 627, 159
• LCM of 194, 961, 965, 634, 656
• LCM of 123, 721, 361, 315, 346

1. What is the LCM of 201, 266, 456, 398, 428?

Answer: LCM of 201, 266, 456, 398, 428 is 4553806152.

2. How to calculate the LCM of 201, 266, 456, 398, 428?

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, 266, 456, 398, 428.

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}.