Given numbers are 305,258,284,946

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

The LCM of 305,258,284,946 is 122913780.

Find LCM of 305,258,284,946 with Prime Factorization

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

2 x 43 x 305 x 3 x 142 x 11 = 122913780

Therefore, the lowest common multiple of 305,258,284,946 is 122913780.

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.

305 x 258 x 284 x 946 = 21141170160

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.

305 : 1, 5, 61, 305

258 : 1, 2, 3, 6, 43, 86, 129, 258

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

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,258,284,946, is 1.

Now, the common factors can be found like this.

305:5x 61

258:2x 3x 43

284:2x 2x 71

946:2x 11x 43

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 43 = 172

Therefore, the value for common factors is 172.

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 = 21141170160/(1x172)

LCM = 21141170160/172

LCM = 122913780

Thus, we can understand that the LCM of 305,258,284,946 is 122913780.

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

• LCM of 633, 237, 289, 611
• LCM of 851, 559, 502, 933
• LCM of 904, 866, 836, 849
• LCM of 861, 587, 863, 689
• LCM of 203, 481, 948, 995

1. What is the LCM of 305, 258, 284, 946?

Answer: LCM of 305, 258, 284, 946 is 122913780.

2. How to calculate the LCM of 305, 258, 284, 946?

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 305, 258, 284, 946.

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}.