Given numbers are 214,317,828,755

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

The LCM of 214,317,828,755 is 21204123660.

Find LCM of 214,317,828,755 with Prime Factorization

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

2 x 107 x 317 x 414 x 755 = 21204123660

Therefore, the lowest common multiple of 214,317,828,755 is 21204123660.

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.

214 x 317 x 828 x 755 = 42408247320

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.

214 : 1, 2, 107, 214

317 : 1, 317

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,317,828,755, is 1.

Now, the common factors can be found like this.

214:2x 107

317:317

828:2x 2x 3x 3x 23

755:5x 151

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 = 42408247320/(1x2)

LCM = 42408247320/2

LCM = 21204123660

Thus, we can understand that the LCM of 214,317,828,755 is 21204123660.

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

• LCM of 263, 475, 276, 192
• LCM of 153, 703, 827, 454
• LCM of 284, 307, 496, 881
• LCM of 141, 764, 922, 145
• LCM of 809, 185, 855, 510

1. What is the LCM of 214, 317, 828, 755?

Answer: LCM of 214, 317, 828, 755 is 21204123660.

2. How to calculate the LCM of 214, 317, 828, 755?

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 214, 317, 828, 755.

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}.