Given numbers are 461,515,105,305

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

The LCM of 461,515,105,305 is 304128615.

Find LCM of 461,515,105,305 with Prime Factorization

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

5 x 461 x 103 x 21 x 61 = 304128615

Therefore, the lowest common multiple of 461,515,105,305 is 304128615.

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.

461 x 515 x 105 x 305 = 7603215375

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.

461 : 1, 461

515 : 1, 5, 103, 515

105 : 1, 3, 5, 7, 15, 21, 35, 105

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,515,105,305, is 1.

Now, the common factors can be found like this.

461:461

515:5x 103

105:3x 5x 7

305:5x 61

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 7603215375/(1x25)

LCM = 7603215375/25

LCM = 304128615

Thus, we can understand that the LCM of 461,515,105,305 is 304128615.

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

• LCM of 896, 740, 273, 873
• LCM of 617, 497, 574, 466
• LCM of 299, 868, 965, 573
• LCM of 760, 357, 294, 136
• LCM of 197, 945, 864, 313

1. What is the LCM of 461, 515, 105, 305?

Answer: LCM of 461, 515, 105, 305 is 304128615.

2. How to calculate the LCM of 461, 515, 105, 305?

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 461, 515, 105, 305.

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}.