Given numbers are 380,282,214,415

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

The LCM of 380,282,214,415 is 475843980.

Find LCM of 380,282,214,415 with Prime Factorization

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

2 x 5 x 38 x 141 x 107 x 83 = 475843980

Therefore, the lowest common multiple of 380,282,214,415 is 475843980.

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 282 x 214 x 415 = 9516879600

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

282 : 1, 2, 3, 6, 47, 94, 141, 282

214 : 1, 2, 107, 214

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,282,214,415, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

282:2x 3x 47

214:2x 107

415:5x 83

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 = 9516879600/(1x20)

LCM = 9516879600/20

LCM = 475843980

Thus, we can understand that the LCM of 380,282,214,415 is 475843980.

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

• LCM of 988, 661, 375, 179
• LCM of 866, 386, 343, 346
• LCM of 343, 898, 275, 497
• LCM of 100, 328, 851, 247
• LCM of 451, 930, 767, 217

1. What is the LCM of 380, 282, 214, 415?

Answer: LCM of 380, 282, 214, 415 is 475843980.

2. How to calculate the LCM of 380, 282, 214, 415?

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, 282, 214, 415.

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}.