Given numbers are 819,201,334,216,372

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

The LCM of 819,201,334,216,372 is 6817860504.

Find LCM of 819,201,334,216,372 with Prime Factorization

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

2 x 2 x 3 x 3 x 91 x 67 x 167 x 6 x 31 = 6817860504

Therefore, the lowest common multiple of 819,201,334,216,372 is 6817860504.

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.

819 x 201 x 334 x 216 x 372 = 4417973606592

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.

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

201 : 1, 3, 67, 201

334 : 1, 2, 167, 334

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,201,334,216,372, is 1.

Now, the common factors can be found like this.

819:3x 3x 7x 13

201:3x 67

334:2x 167

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

372:2x 2x 3x 31

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 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 4417973606592/(1x648)

LCM = 4417973606592/648

LCM = 6817860504

Thus, we can understand that the LCM of 819,201,334,216,372 is 6817860504.

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

• LCM of 344, 249, 729, 448, 306
• LCM of 899, 113, 973, 461, 317
• LCM of 305, 812, 801, 729, 289
• LCM of 289, 884, 861, 575, 322
• LCM of 773, 662, 496, 729, 228

1. What is the LCM of 819, 201, 334, 216, 372?

Answer: LCM of 819, 201, 334, 216, 372 is 6817860504.

2. How to calculate the LCM of 819, 201, 334, 216, 372?

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 819, 201, 334, 216, 372.

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}.