Given numbers are 380,445,478,471,194

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

The LCM of 380,445,478,471,194 is 369287107260.

Find LCM of 380,445,478,471,194 with Prime Factorization

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

2 x 5 x 38 x 89 x 239 x 471 x 97 = 369287107260

Therefore, the lowest common multiple of 380,445,478,471,194 is 369287107260.

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 445 x 478 x 471 x 194 = 7385742145200

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

445 : 1, 5, 89, 445

478 : 1, 2, 239, 478

471 : 1, 3, 157, 471

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,445,478,471,194, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

445:5x 89

478:2x 239

471:3x 157

194:2x 97

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 5 = 20

Therefore, the value for common factors is 20.

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 = 7385742145200/(1x20)

LCM = 7385742145200/20

LCM = 369287107260

Thus, we can understand that the LCM of 380,445,478,471,194 is 369287107260.

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

• LCM of 569, 705, 880, 295, 349
• LCM of 873, 813, 542, 132, 523
• LCM of 743, 490, 912, 325, 179
• LCM of 826, 186, 410, 607, 671
• LCM of 929, 997, 678, 243, 671

1. What is the LCM of 380, 445, 478, 471, 194?

Answer: LCM of 380, 445, 478, 471, 194 is 369287107260.

2. How to calculate the LCM of 380, 445, 478, 471, 194?

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, 445, 478, 471, 194.

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}.