Given numbers are 807,962,738,420,447

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

The LCM of 807,962,738,420,447 is 995951125260.

Find LCM of 807,962,738,420,447 with Prime Factorization

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

2 x 3 x 269 x 481 x 123 x 70 x 149 = 995951125260

Therefore, the lowest common multiple of 807,962,738,420,447 is 995951125260.

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.

807 x 962 x 738 x 420 x 447 = 107562721528080

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.

807 : 1, 3, 269, 807

962 : 1, 2, 13, 26, 37, 74, 481, 962

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,962,738,420,447, is 1.

Now, the common factors can be found like this.

807:3x 269

962:2x 13x 37

738:2x 3x 3x 41

420:2x 2x 3x 5x 7

447:3x 149

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 3 = 108

Therefore, the value for common factors is 108.

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 = 107562721528080/(1x108)

LCM = 107562721528080/108

LCM = 995951125260

Thus, we can understand that the LCM of 807,962,738,420,447 is 995951125260.

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

• LCM of 792, 404, 980, 810, 585
• LCM of 880, 410, 905, 790, 327
• LCM of 290, 790, 260, 918, 609
• LCM of 215, 883, 259, 371, 168
• LCM of 363, 846, 508, 880, 778

1. What is the LCM of 807, 962, 738, 420, 447?

Answer: LCM of 807, 962, 738, 420, 447 is 995951125260.

2. How to calculate the LCM of 807, 962, 738, 420, 447?

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 807, 962, 738, 420, 447.

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}.