Given numbers are 564,283,334,15

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

The LCM of 564,283,334,15 is 133276020.

Find LCM of 564,283,334,15 with Prime Factorization

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

2 x 3 x 94 x 283 x 167 x 5 = 133276020

Therefore, the lowest common multiple of 564,283,334,15 is 133276020.

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.

564 x 283 x 334 x 15 = 799656120

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

283 : 1, 283

334 : 1, 2, 167, 334

15 : 1, 3, 5, 15

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,283,334,15, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

283:283

334:2x 167

15:3x 5

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 799656120/(1x6)

LCM = 799656120/6

LCM = 133276020

Thus, we can understand that the LCM of 564,283,334,15 is 133276020.

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

• LCM of 604, 270, 280, 12
• LCM of 328, 272, 302, 72
• LCM of 425, 611, 656, 32
• LCM of 466, 773, 826, 20
• LCM of 649, 544, 312, 95

1. What is the LCM of 564, 283, 334, 15?

Answer: LCM of 564, 283, 334, 15 is 133276020.

2. How to calculate the LCM of 564, 283, 334, 15?

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 564, 283, 334, 15.

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}.