Given numbers are 888,540,213,325,415

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

The LCM of 888,540,213,325,415 is 15306478200.

Find LCM of 888,540,213,325,415 with Prime Factorization

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

2 x 2 x 3 x 5 x 74 x 9 x 71 x 65 x 83 = 15306478200

Therefore, the lowest common multiple of 888,540,213,325,415 is 15306478200.

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.

888 x 540 x 213 x 325 x 415 = 13775830380000

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.

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

213 : 1, 3, 71, 213

325 : 1, 5, 13, 25, 65, 325

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,540,213,325,415, is 1.

Now, the common factors can be found like this.

888:2x 2x 2x 3x 37

540:2x 2x 3x 3x 3x 5

213:3x 71

325:5x 5x 13

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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 13775830380000/(1x900)

LCM = 13775830380000/900

LCM = 15306478200

Thus, we can understand that the LCM of 888,540,213,325,415 is 15306478200.

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

• LCM of 839, 279, 328, 655, 184
• LCM of 326, 491, 100, 910, 703
• LCM of 307, 751, 376, 876, 100
• LCM of 905, 474, 396, 852, 272
• LCM of 175, 315, 822, 582, 300

1. What is the LCM of 888, 540, 213, 325, 415?

Answer: LCM of 888, 540, 213, 325, 415 is 15306478200.

2. How to calculate the LCM of 888, 540, 213, 325, 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 888, 540, 213, 325, 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}.