Given numbers are 400,446,119,406

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

The LCM of 400,446,119,406 is 307829200.

Find LCM of 400,446,119,406 with Prime Factorization

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

2 x 7 x 200 x 223 x 17 x 29 = 307829200

Therefore, the lowest common multiple of 400,446,119,406 is 307829200.

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.

400 x 446 x 119 x 406 = 8619217600

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

446 : 1, 2, 223, 446

119 : 1, 7, 17, 119

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,446,119,406, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

446:2x 223

119:7x 17

406:2x 7x 29

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 7 = 28

Therefore, the value for common factors is 28.

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 = 8619217600/(1x28)

LCM = 8619217600/28

LCM = 307829200

Thus, we can understand that the LCM of 400,446,119,406 is 307829200.

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

• LCM of 268, 338, 603, 388
• LCM of 914, 412, 848, 498
• LCM of 922, 312, 105, 265
• LCM of 844, 958, 697, 668
• LCM of 837, 520, 333, 122

1. What is the LCM of 400, 446, 119, 406?

Answer: LCM of 400, 446, 119, 406 is 307829200.

2. How to calculate the LCM of 400, 446, 119, 406?

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 400, 446, 119, 406.

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}.