Given numbers are 381,207,454,438

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

The LCM of 381,207,454,438 is 871270038.

Find LCM of 381,207,454,438 with Prime Factorization

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

2 x 3 x 127 x 69 x 227 x 73 = 871270038

Therefore, the lowest common multiple of 381,207,454,438 is 871270038.

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.

381 x 207 x 454 x 438 = 15682860684

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.

381 : 1, 3, 127, 381

207 : 1, 3, 9, 23, 69, 207

454 : 1, 2, 227, 454

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,207,454,438, is 1.

Now, the common factors can be found like this.

381:3x 127

207:3x 3x 23

454:2x 227

438:2x 3x 73

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 3 = 18

Therefore, the value for common factors is 18.

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 = 15682860684/(1x18)

LCM = 15682860684/18

LCM = 871270038

Thus, we can understand that the LCM of 381,207,454,438 is 871270038.

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

• LCM of 662, 243, 315, 341
• LCM of 371, 188, 609, 685
• LCM of 758, 632, 566, 925
• LCM of 863, 194, 465, 226
• LCM of 408, 116, 403, 967

1. What is the LCM of 381, 207, 454, 438?

Answer: LCM of 381, 207, 454, 438 is 871270038.

2. How to calculate the LCM of 381, 207, 454, 438?

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 381, 207, 454, 438.

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}.