Given numbers are 505,428,447,426

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

The LCM of 505,428,447,426 is 6859635180.

Find LCM of 505,428,447,426 with Prime Factorization

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

2 x 3 x 505 x 214 x 149 x 71 = 6859635180

Therefore, the lowest common multiple of 505,428,447,426 is 6859635180.

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 428 x 447 x 426 = 41157811080

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

428 : 1, 2, 4, 107, 214, 428

447 : 1, 3, 149, 447

426 : 1, 2, 3, 6, 71, 142, 213, 426

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,428,447,426, is 1.

Now, the common factors can be found like this.

505:5x 101

428:2x 2x 107

447:3x 149

426:2x 3x 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 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 = 41157811080/(1x6)

LCM = 41157811080/6

LCM = 6859635180

Thus, we can understand that the LCM of 505,428,447,426 is 6859635180.

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

• LCM of 581, 331, 870, 568
• LCM of 191, 356, 848, 515
• LCM of 960, 100, 224, 141
• LCM of 541, 190, 219, 440
• LCM of 463, 151, 679, 761

1. What is the LCM of 505, 428, 447, 426?

Answer: LCM of 505, 428, 447, 426 is 6859635180.

2. How to calculate the LCM of 505, 428, 447, 426?

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, 428, 447, 426.

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}.