Given numbers are 334,412,114,435

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

The LCM of 334,412,114,435 is 568665060.

Find LCM of 334,412,114,435 with Prime Factorization

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

2 x 3 x 167 x 206 x 19 x 145 = 568665060

Therefore, the lowest common multiple of 334,412,114,435 is 568665060.

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.

334 x 412 x 114 x 435 = 6823980720

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.

334 : 1, 2, 167, 334

412 : 1, 2, 4, 103, 206, 412

114 : 1, 2, 3, 6, 19, 38, 57, 114

435 : 1, 3, 5, 15, 29, 87, 145, 435

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,412,114,435, is 1.

Now, the common factors can be found like this.

334:2x 167

412:2x 2x 103

114:2x 3x 19

435:3x 5x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 6823980720/(1x12)

LCM = 6823980720/12

LCM = 568665060

Thus, we can understand that the LCM of 334,412,114,435 is 568665060.

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

• LCM of 989, 941, 143, 730
• LCM of 459, 508, 820, 221
• LCM of 775, 980, 865, 647
• LCM of 542, 301, 818, 236
• LCM of 482, 234, 186, 168

1. What is the LCM of 334, 412, 114, 435?

Answer: LCM of 334, 412, 114, 435 is 568665060.

2. How to calculate the LCM of 334, 412, 114, 435?

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 334, 412, 114, 435.

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}.