Given numbers are 380,471,331,296,457

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

The LCM of 380,471,331,296,457 is 2003458806840.

Find LCM of 380,471,331,296,457 with Prime Factorization

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

2 x 2 x 95 x 471 x 331 x 74 x 457 = 2003458806840

Therefore, the lowest common multiple of 380,471,331,296,457 is 2003458806840.

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 471 x 331 x 296 x 457 = 8013835227360

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

471 : 1, 3, 157, 471

331 : 1, 331

296 : 1, 2, 4, 8, 37, 74, 148, 296

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,471,331,296,457, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

471:3x 157

331:331

296:2x 2x 2x 37

457:457

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

2x 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 = 8013835227360/(1x4)

LCM = 8013835227360/4

LCM = 2003458806840

Thus, we can understand that the LCM of 380,471,331,296,457 is 2003458806840.

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

• LCM of 789, 112, 956, 503, 458
• LCM of 343, 489, 854, 210, 890
• LCM of 630, 286, 222, 993, 356
• LCM of 849, 113, 744, 396, 351
• LCM of 152, 227, 129, 459, 473

1. What is the LCM of 380, 471, 331, 296, 457?

Answer: LCM of 380, 471, 331, 296, 457 is 2003458806840.

2. How to calculate the LCM of 380, 471, 331, 296, 457?

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, 471, 331, 296, 457.

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}.