Given numbers are 219,906,390,552

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

The LCM of 219,906,390,552 is 395505240.

Find LCM of 219,906,390,552 with Prime Factorization

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

2 x 3 x 73 x 151 x 65 x 92 = 395505240

Therefore, the lowest common multiple of 219,906,390,552 is 395505240.

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.

219 x 906 x 390 x 552 = 42714565920

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.

219 : 1, 3, 73, 219

906 : 1, 2, 3, 6, 151, 302, 453, 906

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,906,390,552, is 3.

Now, the common factors can be found like this.

219:3x 73

906:2x 3x 151

390:2x 3x 5x 13

552:2x 2x 2x 3x 23

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 3 = 36

Therefore, the value for common factors is 36.

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 = 42714565920/(3x36)

LCM = 42714565920/108

LCM = 395505240

Thus, we can understand that the LCM of 219,906,390,552 is 395505240.

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

• LCM of 511, 744, 148, 484
• LCM of 117, 480, 358, 108
• LCM of 560, 695, 584, 108
• LCM of 993, 640, 759, 251
• LCM of 228, 108, 348, 193

1. What is the LCM of 219, 906, 390, 552?

Answer: LCM of 219, 906, 390, 552 is 395505240.

2. How to calculate the LCM of 219, 906, 390, 552?

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 219, 906, 390, 552.

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}.