Given numbers are 171,142,305,284

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

The LCM of 171,142,305,284 is 14812020.

Find LCM of 171,142,305,284 with Prime Factorization

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

2 x 71 x 171 x 1 x 305 x 2 = 14812020

Therefore, the lowest common multiple of 171,142,305,284 is 14812020.

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.

171 x 142 x 305 x 284 = 2103306840

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.

171 : 1, 3, 9, 19, 57, 171

142 : 1, 2, 71, 142

305 : 1, 5, 61, 305

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,142,305,284, is 1.

Now, the common factors can be found like this.

171:3x 3x 19

142:2x 71

305:5x 61

284:2x 2x 71

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 2103306840/(1x142)

LCM = 2103306840/142

LCM = 14812020

Thus, we can understand that the LCM of 171,142,305,284 is 14812020.

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

• LCM of 930, 572, 111, 220
• LCM of 622, 478, 398, 752
• LCM of 909, 456, 370, 930
• LCM of 931, 178, 687, 619
• LCM of 933, 881, 572, 214

1. What is the LCM of 171, 142, 305, 284?

Answer: LCM of 171, 142, 305, 284 is 14812020.

2. How to calculate the LCM of 171, 142, 305, 284?

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 171, 142, 305, 284.

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}.