Given numbers are 912,303,493,869,990

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

The LCM of 912,303,493,869,990 is 591935200560.

Find LCM of 912,303,493,869,990 with Prime Factorization

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

2 x 3 x 11 x 152 x 101 x 493 x 79 x 15 = 591935200560

Therefore, the lowest common multiple of 912,303,493,869,990 is 591935200560.

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.

912 x 303 x 493 x 869 x 990 = 117203169710880

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.

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

303 : 1, 3, 101, 303

493 : 1, 17, 29, 493

869 : 1, 11, 79, 869

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,303,493,869,990, is 1.

Now, the common factors can be found like this.

912:2x 2x 2x 2x 3x 19

303:3x 101

493:17x 29

869:11x 79

990:2x 3x 3x 5x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 11 = 198

Therefore, the value for common factors is 198.

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 = 117203169710880/(1x198)

LCM = 117203169710880/198

LCM = 591935200560

Thus, we can understand that the LCM of 912,303,493,869,990 is 591935200560.

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

• LCM of 267, 333, 448, 513, 573
• LCM of 684, 401, 393, 922, 285
• LCM of 948, 936, 623, 321, 575
• LCM of 768, 486, 226, 504, 760
• LCM of 342, 211, 157, 659, 253

1. What is the LCM of 912, 303, 493, 869, 990?

Answer: LCM of 912, 303, 493, 869, 990 is 591935200560.

2. How to calculate the LCM of 912, 303, 493, 869, 990?

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 912, 303, 493, 869, 990.

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}.