Given numbers are 380,201,362,454

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

The LCM of 380,201,362,454 is 3138225060.

Find LCM of 380,201,362,454 with Prime Factorization

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

2 x 190 x 201 x 181 x 227 = 3138225060

Therefore, the lowest common multiple of 380,201,362,454 is 3138225060.

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.

380 x 201 x 362 x 454 = 12552900240

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

201 : 1, 3, 67, 201

362 : 1, 2, 181, 362

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,201,362,454, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

201:3x 67

362:2x 181

454:2x 227

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 12552900240/(1x4)

LCM = 12552900240/4

LCM = 3138225060

Thus, we can understand that the LCM of 380,201,362,454 is 3138225060.

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

• LCM of 793, 828, 447, 700
• LCM of 910, 293, 319, 668
• LCM of 426, 864, 447, 878
• LCM of 807, 237, 774, 413
• LCM of 898, 758, 941, 308

1. What is the LCM of 380, 201, 362, 454?

Answer: LCM of 380, 201, 362, 454 is 3138225060.

2. How to calculate the LCM of 380, 201, 362, 454?

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 380, 201, 362, 454.

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}.