Given numbers are 446,154,940,990,312

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

The LCM of 446,154,940,990,312 is 3776933160.

Find LCM of 446,154,940,990,312 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 223 x 7 x 47 x 3 x 26 = 3776933160

Therefore, the lowest common multiple of 446,154,940,990,312 is 3776933160.

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.

446 x 154 x 940 x 990 x 312 = 19942207084800

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.

446 : 1, 2, 223, 446

154 : 1, 2, 7, 11, 14, 22, 77, 154

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,154,940,990,312, is 2.

Now, the common factors can be found like this.

446:2x 223

154:2x 7x 11

940:2x 2x 5x 47

990:2x 3x 3x 5x 11

312:2x 2x 2x 3x 13

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 2x 2x 3x 5x 11 = 2640

Therefore, the value for common factors is 2640.

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 = 19942207084800/(2x2640)

LCM = 19942207084800/5280

LCM = 3776933160

Thus, we can understand that the LCM of 446,154,940,990,312 is 3776933160.

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

• LCM of 469, 976, 695, 626, 656
• LCM of 141, 487, 739, 920, 492
• LCM of 562, 178, 577, 843, 314
• LCM of 396, 663, 473, 716, 501
• LCM of 461, 404, 766, 453, 897

1. What is the LCM of 446, 154, 940, 990, 312?

Answer: LCM of 446, 154, 940, 990, 312 is 3776933160.

2. How to calculate the LCM of 446, 154, 940, 990, 312?

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 446, 154, 940, 990, 312.

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}.