Given numbers are 380,531,551,413

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

The LCM of 380,531,551,413 is 40961340.

Find LCM of 380,531,551,413 with Prime Factorization

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

19 x 59 x 20 x 9 x 29 x 7 = 40961340

Therefore, the lowest common multiple of 380,531,551,413 is 40961340.

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 531 x 551 x 413 = 45917662140

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

531 : 1, 3, 9, 59, 177, 531

551 : 1, 19, 29, 551

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,531,551,413, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

531:3x 3x 59

551:19x 29

413:7x 59

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

19x 59 = 1121

Therefore, the value for common factors is 1121.

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 = 45917662140/(1x1121)

LCM = 45917662140/1121

LCM = 40961340

Thus, we can understand that the LCM of 380,531,551,413 is 40961340.

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

• LCM of 444, 702, 994, 907
• LCM of 354, 551, 659, 693
• LCM of 392, 618, 812, 805
• LCM of 404, 692, 151, 456
• LCM of 271, 697, 727, 499

1. What is the LCM of 380, 531, 551, 413?

Answer: LCM of 380, 531, 551, 413 is 40961340.

2. How to calculate the LCM of 380, 531, 551, 413?

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, 531, 551, 413.

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}.