Given numbers are 414,368,201,897

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

The LCM of 414,368,201,897 is 2884752.

Find LCM of 414,368,201,897 with Prime Factorization

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

2 x 3 x 23 x 3 x 8 x 67 x 13 = 2884752

Therefore, the lowest common multiple of 414,368,201,897 is 2884752.

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.

414 x 368 x 201 x 897 = 27468608544

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

201 : 1, 3, 67, 201

897 : 1, 3, 13, 23, 39, 69, 299, 897

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,368,201,897, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

368:2x 2x 2x 2x 23

201:3x 67

897:3x 13x 23

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 3x 23x 23 = 9522

Therefore, the value for common factors is 9522.

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 = 27468608544/(1x9522)

LCM = 27468608544/9522

LCM = 2884752

Thus, we can understand that the LCM of 414,368,201,897 is 2884752.

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

• LCM of 191, 459, 930, 253
• LCM of 508, 713, 101, 190
• LCM of 139, 673, 292, 347
• LCM of 782, 751, 442, 556
• LCM of 760, 287, 781, 763

1. What is the LCM of 414, 368, 201, 897?

Answer: LCM of 414, 368, 201, 897 is 2884752.

2. How to calculate the LCM of 414, 368, 201, 897?

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 414, 368, 201, 897.

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}.