Given numbers are 783,508,209,214

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

The LCM of 783,508,209,214 is 8895196332.

Find LCM of 783,508,209,214 with Prime Factorization

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

2 x 783 x 254 x 209 x 107 = 8895196332

Therefore, the lowest common multiple of 783,508,209,214 is 8895196332.

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.

783 x 508 x 209 x 214 = 17790392664

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.

783 : 1, 3, 9, 27, 29, 87, 261, 783

508 : 1, 2, 4, 127, 254, 508

209 : 1, 11, 19, 209

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,508,209,214, is 1.

Now, the common factors can be found like this.

783:3x 3x 3x 29

508:2x 2x 127

209:11x 19

214:2x 107

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 = 17790392664/(1x2)

LCM = 17790392664/2

LCM = 8895196332

Thus, we can understand that the LCM of 783,508,209,214 is 8895196332.

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

• LCM of 891, 331, 749, 735
• LCM of 155, 208, 536, 930
• LCM of 354, 359, 667, 979
• LCM of 784, 336, 656, 376
• LCM of 786, 506, 305, 374

1. What is the LCM of 783, 508, 209, 214?

Answer: LCM of 783, 508, 209, 214 is 8895196332.

2. How to calculate the LCM of 783, 508, 209, 214?

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 783, 508, 209, 214.

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}.