Given numbers are 514,682,775,206,216

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

The LCM of 514,682,775,206,216 is 48743699400.

Find LCM of 514,682,775,206,216 with Prime Factorization

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

2 x 31 x 257 x 11 x 25 x 103 x 108 = 48743699400

Therefore, the lowest common multiple of 514,682,775,206,216 is 48743699400.

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.

514 x 682 x 775 x 206 x 216 = 12088437451200

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.

514 : 1, 2, 257, 514

682 : 1, 2, 11, 22, 31, 62, 341, 682

775 : 1, 5, 25, 31, 155, 775

206 : 1, 2, 103, 206

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,682,775,206,216, is 1.

Now, the common factors can be found like this.

514:2x 257

682:2x 11x 31

775:5x 5x 31

206:2x 103

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 31 = 248

Therefore, the value for common factors is 248.

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 = 12088437451200/(1x248)

LCM = 12088437451200/248

LCM = 48743699400

Thus, we can understand that the LCM of 514,682,775,206,216 is 48743699400.

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

• LCM of 323, 616, 908, 874, 646
• LCM of 624, 871, 177, 648, 594
• LCM of 454, 785, 294, 561, 226
• LCM of 424, 664, 763, 319, 669
• LCM of 559, 840, 488, 462, 690

1. What is the LCM of 514, 682, 775, 206, 216?

Answer: LCM of 514, 682, 775, 206, 216 is 48743699400.

2. How to calculate the LCM of 514, 682, 775, 206, 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 514, 682, 775, 206, 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}.