Given numbers are 840,150,993,578

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

The LCM of 840,150,993,578 is 401767800.

Find LCM of 840,150,993,578 with Prime Factorization

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

2 x 3 x 5 x 28 x 5 x 331 x 289 = 401767800

Therefore, the lowest common multiple of 840,150,993,578 is 401767800.

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.

840 x 150 x 993 x 578 = 72318204000

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

993 : 1, 3, 331, 993

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,150,993,578, is 1.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

150:2x 3x 5x 5

993:3x 331

578:2x 17x 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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 72318204000/(1x180)

LCM = 72318204000/180

LCM = 401767800

Thus, we can understand that the LCM of 840,150,993,578 is 401767800.

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

• LCM of 899, 261, 777, 222
• LCM of 294, 367, 381, 932
• LCM of 701, 527, 677, 936
• LCM of 376, 601, 453, 319
• LCM of 332, 482, 913, 900

1. What is the LCM of 840, 150, 993, 578?

Answer: LCM of 840, 150, 993, 578 is 401767800.

2. How to calculate the LCM of 840, 150, 993, 578?

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 840, 150, 993, 578.

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}.