Given numbers are 380,214,478,239

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

The LCM of 380,214,478,239 is 9717740.

Find LCM of 380,214,478,239 with Prime Factorization

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

2 x 239 x 190 x 107 x 1 x 1 = 9717740

Therefore, the lowest common multiple of 380,214,478,239 is 9717740.

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 214 x 478 x 239 = 9290159440

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

214 : 1, 2, 107, 214

478 : 1, 2, 239, 478

239 : 1, 239

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,214,478,239, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

214:2x 107

478:2x 239

239:239

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 239 = 956

Therefore, the value for common factors is 956.

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 = 9290159440/(1x956)

LCM = 9290159440/956

LCM = 9717740

Thus, we can understand that the LCM of 380,214,478,239 is 9717740.

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

• LCM of 900, 522, 826, 605
• LCM of 905, 802, 688, 230
• LCM of 219, 642, 787, 382
• LCM of 892, 176, 683, 628
• LCM of 532, 247, 221, 547

1. What is the LCM of 380, 214, 478, 239?

Answer: LCM of 380, 214, 478, 239 is 9717740.

2. How to calculate the LCM of 380, 214, 478, 239?

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, 214, 478, 239.

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}.