Given numbers are 420,849,228,516,216

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

The LCM of 420,849,228,516,216 is 1747955160.

Find LCM of 420,849,228,516,216 with Prime Factorization

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

2 x 2 x 3 x 35 x 283 x 19 x 43 x 18 = 1747955160

Therefore, the lowest common multiple of 420,849,228,516,216 is 1747955160.

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.

420 x 849 x 228 x 516 x 216 = 9061399549440

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

849 : 1, 3, 283, 849

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,849,228,516,216, is 3.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

849:3x 283

228:2x 2x 3x 19

516:2x 2x 3x 43

216:2x 2x 2x 3x 3x 3

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 2x 2x 2x 2x 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 9061399549440/(3x1728)

LCM = 9061399549440/5184

LCM = 1747955160

Thus, we can understand that the LCM of 420,849,228,516,216 is 1747955160.

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

• LCM of 238, 182, 419, 634, 452
• LCM of 497, 447, 935, 473, 143
• LCM of 700, 581, 431, 720, 791
• LCM of 222, 868, 348, 553, 423
• LCM of 460, 347, 233, 855, 315

1. What is the LCM of 420, 849, 228, 516, 216?

Answer: LCM of 420, 849, 228, 516, 216 is 1747955160.

2. How to calculate the LCM of 420, 849, 228, 516, 216?

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 420, 849, 228, 516, 216.

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}.