Given numbers are 402,272,321,914

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

The LCM of 402,272,321,914 is 2673406128.

Find LCM of 402,272,321,914 with Prime Factorization

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

2 x 3 x 67 x 136 x 107 x 457 = 2673406128

Therefore, the lowest common multiple of 402,272,321,914 is 2673406128.

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.

402 x 272 x 321 x 914 = 32080873536

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

321 : 1, 3, 107, 321

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,272,321,914, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

272:2x 2x 2x 2x 17

321:3x 107

914:2x 457

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 3 = 12

Therefore, the value for common factors is 12.

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 = 32080873536/(1x12)

LCM = 32080873536/12

LCM = 2673406128

Thus, we can understand that the LCM of 402,272,321,914 is 2673406128.

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

• LCM of 168, 158, 942, 933
• LCM of 567, 284, 471, 811
• LCM of 204, 454, 611, 174
• LCM of 773, 147, 589, 385
• LCM of 546, 103, 829, 997

1. What is the LCM of 402, 272, 321, 914?

Answer: LCM of 402, 272, 321, 914 is 2673406128.

2. How to calculate the LCM of 402, 272, 321, 914?

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 402, 272, 321, 914.

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}.