Given numbers are 334,350,431,408

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

The LCM of 334,350,431,408 is 5139157800.

Find LCM of 334,350,431,408 with Prime Factorization

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

2 x 167 x 175 x 431 x 204 = 5139157800

Therefore, the lowest common multiple of 334,350,431,408 is 5139157800.

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 350 x 431 x 408 = 20556631200

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

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

431 : 1, 431

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,350,431,408, is 1.

Now, the common factors can be found like this.

334:2x 167

350:2x 5x 5x 7

431:431

408:2x 2x 2x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 20556631200/(1x4)

LCM = 20556631200/4

LCM = 5139157800

Thus, we can understand that the LCM of 334,350,431,408 is 5139157800.

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

• LCM of 812, 837, 554, 114
• LCM of 896, 920, 263, 732
• LCM of 688, 280, 360, 384
• LCM of 697, 250, 201, 476
• LCM of 757, 576, 243, 797

1. What is the LCM of 334, 350, 431, 408?

Answer: LCM of 334, 350, 431, 408 is 5139157800.

2. How to calculate the LCM of 334, 350, 431, 408?

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, 350, 431, 408.

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}.