Given numbers are 420,504,896,806

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

The LCM of 420,504,896,806 is 16248960.

Find LCM of 420,504,896,806 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 5 x 3 x 16 x 403 = 16248960

Therefore, the lowest common multiple of 420,504,896,806 is 16248960.

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.

420 x 504 x 896 x 806 = 152870215680

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

806 : 1, 2, 13, 26, 31, 62, 403, 806

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,504,896,806, is 2.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

504:2x 2x 2x 3x 3x 7

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

806:2x 13x 31

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 3x 7x 7 = 4704

Therefore, the value for common factors is 4704.

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 = 152870215680/(2x4704)

LCM = 152870215680/9408

LCM = 16248960

Thus, we can understand that the LCM of 420,504,896,806 is 16248960.

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

• LCM of 340, 548, 204, 611
• LCM of 990, 200, 954, 250
• LCM of 833, 275, 380, 711
• LCM of 640, 838, 834, 729
• LCM of 923, 959, 824, 541

1. What is the LCM of 420, 504, 896, 806?

Answer: LCM of 420, 504, 896, 806 is 16248960.

2. How to calculate the LCM of 420, 504, 896, 806?

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 420, 504, 896, 806.

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}.