Given numbers are 505,120,427,305

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

The LCM of 505,120,427,305 is 5175240.

Find LCM of 505,120,427,305 with Prime Factorization

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

5 x 61 x 101 x 24 x 7 x 1 = 5175240

Therefore, the lowest common multiple of 505,120,427,305 is 5175240.

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.

505 x 120 x 427 x 305 = 7892241000

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.

505 : 1, 5, 101, 505

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

427 : 1, 7, 61, 427

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,120,427,305, is 1.

Now, the common factors can be found like this.

505:5x 101

120:2x 2x 2x 3x 5

427:7x 61

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 5x 61 = 1525

Therefore, the value for common factors is 1525.

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 = 7892241000/(1x1525)

LCM = 7892241000/1525

LCM = 5175240

Thus, we can understand that the LCM of 505,120,427,305 is 5175240.

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

• LCM of 245, 676, 464, 148
• LCM of 900, 594, 467, 722
• LCM of 735, 435, 126, 821
• LCM of 229, 454, 509, 266
• LCM of 377, 780, 341, 951

1. What is the LCM of 505, 120, 427, 305?

Answer: LCM of 505, 120, 427, 305 is 5175240.

2. How to calculate the LCM of 505, 120, 427, 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 505, 120, 427, 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}.