Given numbers are 428,646,446,956

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

The LCM of 428,646,446,956 is 7367990468.

Find LCM of 428,646,446,956 with Prime Factorization

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

2 x 2 x 107 x 323 x 223 x 239 = 7367990468

Therefore, the lowest common multiple of 428,646,446,956 is 7367990468.

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.

428 x 646 x 446 x 956 = 117887847488

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.

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

446 : 1, 2, 223, 446

956 : 1, 2, 4, 239, 478, 956

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,646,446,956, is 2.

Now, the common factors can be found like this.

428:2x 2x 107

646:2x 17x 19

446:2x 223

956:2x 2x 239

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 2 = 8

Therefore, the value for common factors is 8.

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 = 117887847488/(2x8)

LCM = 117887847488/16

LCM = 7367990468

Thus, we can understand that the LCM of 428,646,446,956 is 7367990468.

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

• LCM of 424, 401, 515, 691
• LCM of 431, 213, 308, 569
• LCM of 952, 473, 906, 998
• LCM of 287, 168, 388, 504
• LCM of 997, 807, 339, 370

1. What is the LCM of 428, 646, 446, 956?

Answer: LCM of 428, 646, 446, 956 is 7367990468.

2. How to calculate the LCM of 428, 646, 446, 956?

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 428, 646, 446, 956.

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}.