Given numbers are 380,259,353,914

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

The LCM of 380,259,353,914 is 15877212820.

Find LCM of 380,259,353,914 with Prime Factorization

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

2 x 190 x 259 x 353 x 457 = 15877212820

Therefore, the lowest common multiple of 380,259,353,914 is 15877212820.

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 259 x 353 x 914 = 31754425640

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

259 : 1, 7, 37, 259

353 : 1, 353

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,259,353,914, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

259:7x 37

353:353

914:2x 457

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

2 = 2

Therefore, the value for common factors is 2.

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 = 31754425640/(1x2)

LCM = 31754425640/2

LCM = 15877212820

Thus, we can understand that the LCM of 380,259,353,914 is 15877212820.

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

• LCM of 510, 672, 543, 567
• LCM of 657, 162, 791, 727
• LCM of 391, 487, 821, 513
• LCM of 669, 646, 597, 797
• LCM of 151, 404, 717, 488

1. What is the LCM of 380, 259, 353, 914?

Answer: LCM of 380, 259, 353, 914 is 15877212820.

2. How to calculate the LCM of 380, 259, 353, 914?

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, 259, 353, 914.

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}.