Given numbers are 966,418,446

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

The LCM of 966,418,446 is 45022362.

Find LCM of 966,418,446 with Prime Factorization

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

2 x 483 x 209 x 223 = 45022362

Therefore, the lowest common multiple of 966,418,446 is 45022362.

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.

966 x 418 x 446 = 180089448

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.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

418 : 1, 2, 11, 19, 22, 38, 209, 418

446 : 1, 2, 223, 446

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,418,446, is 2.

Now, the common factors can be found like this.

966:2x 3x 7x 23

418:2x 11x 19

446:2x 223

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

2 = 2

Therefore, the value for common factors is 2.

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 = 180089448/(2x2)

LCM = 180089448/4

LCM = 45022362

Thus, we can understand that the LCM of 966,418,446 is 45022362.

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

• LCM of 671, 379, 562
• LCM of 281, 730, 743
• LCM of 150, 998, 652
• LCM of 483, 831, 395
• LCM of 397, 910, 477

1. What is the LCM of 966, 418, 446?

Answer: LCM of 966, 418, 446 is 45022362.

2. How to calculate the LCM of 966, 418, 446?

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 966, 418, 446.

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}.