Given numbers are 335,102,468,492,406

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

The LCM of 335,102,468,492,406 is 22182958980.

Find LCM of 335,102,468,492,406 with Prime Factorization

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

2 x 2 x 3 x 335 x 17 x 39 x 41 x 203 = 22182958980

Therefore, the lowest common multiple of 335,102,468,492,406 is 22182958980.

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.

335 x 102 x 468 x 492 x 406 = 3194346093120

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.

335 : 1, 5, 67, 335

102 : 1, 2, 3, 6, 17, 34, 51, 102

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,102,468,492,406, is 1.

Now, the common factors can be found like this.

335:5x 67

102:2x 3x 17

468:2x 2x 3x 3x 13

492:2x 2x 3x 41

406:2x 7x 29

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 3194346093120/(1x144)

LCM = 3194346093120/144

LCM = 22182958980

Thus, we can understand that the LCM of 335,102,468,492,406 is 22182958980.

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

• LCM of 294, 351, 597, 382, 395
• LCM of 841, 721, 418, 296, 732
• LCM of 904, 997, 552, 751, 477
• LCM of 393, 282, 487, 335, 493
• LCM of 180, 329, 168, 709, 339

1. What is the LCM of 335, 102, 468, 492, 406?

Answer: LCM of 335, 102, 468, 492, 406 is 22182958980.

2. How to calculate the LCM of 335, 102, 468, 492, 406?

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 335, 102, 468, 492, 406.

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}.