Given numbers are 214,759,462,600

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

The LCM of 214,759,462,600 is 113698200.

Find LCM of 214,759,462,600 with Prime Factorization

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

2 x 3 x 11 x 107 x 23 x 7 x 100 = 113698200

Therefore, the lowest common multiple of 214,759,462,600 is 113698200.

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 759 x 462 x 600 = 45024487200

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

759 : 1, 3, 11, 23, 33, 69, 253, 759

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,759,462,600, is 1.

Now, the common factors can be found like this.

214:2x 107

759:3x 11x 23

462:2x 3x 7x 11

600:2x 2x 2x 3x 5x 5

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 11 = 396

Therefore, the value for common factors is 396.

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 = 45024487200/(1x396)

LCM = 45024487200/396

LCM = 113698200

Thus, we can understand that the LCM of 214,759,462,600 is 113698200.

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

• LCM of 330, 197, 715, 994
• LCM of 466, 713, 601, 215
• LCM of 672, 101, 793, 301
• LCM of 611, 684, 596, 171
• LCM of 272, 456, 737, 495

1. What is the LCM of 214, 759, 462, 600?

Answer: LCM of 214, 759, 462, 600 is 113698200.

2. How to calculate the LCM of 214, 759, 462, 600?

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, 759, 462, 600.

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}.