Given numbers are 896,660,400,119

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

The LCM of 896,660,400,119 is 12566400.

Find LCM of 896,660,400,119 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 7 x 8 x 33 x 5 x 17 = 12566400

Therefore, the lowest common multiple of 896,660,400,119 is 12566400.

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.

896 x 660 x 400 x 119 = 28148736000

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.

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,660,400,119, is 1.

Now, the common factors can be found like this.

896:2x 2x 2x 2x 2x 2x 2x 7

660:2x 2x 3x 5x 11

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

119:7x 17

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 2x 2x 5x 7 = 2240

Therefore, the value for common factors is 2240.

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 = 28148736000/(1x2240)

LCM = 28148736000/2240

LCM = 12566400

Thus, we can understand that the LCM of 896,660,400,119 is 12566400.

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

• LCM of 260, 442, 289, 712
• LCM of 958, 835, 901, 230
• LCM of 589, 578, 979, 787
• LCM of 123, 304, 683, 851
• LCM of 342, 303, 998, 376

1. What is the LCM of 896, 660, 400, 119?

Answer: LCM of 896, 660, 400, 119 is 12566400.

2. How to calculate the LCM of 896, 660, 400, 119?

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 896, 660, 400, 119.

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}.