Given numbers are 856,420,912,990

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

The LCM of 856,420,912,990 is 112709520.

Find LCM of 856,420,912,990 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 107 x 7 x 38 x 33 = 112709520

Therefore, the lowest common multiple of 856,420,912,990 is 112709520.

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.

856 x 420 x 912 x 990 = 324603417600

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.

856 : 1, 2, 4, 8, 107, 214, 428, 856

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

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,420,912,990, is 2.

Now, the common factors can be found like this.

856:2x 2x 2x 107

420:2x 2x 3x 5x 7

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

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 2x 2x 2x 2x 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 324603417600/(2x1440)

LCM = 324603417600/2880

LCM = 112709520

Thus, we can understand that the LCM of 856,420,912,990 is 112709520.

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

• LCM of 825, 517, 330, 364
• LCM of 694, 592, 835, 235
• LCM of 934, 140, 776, 308
• LCM of 842, 397, 984, 662
• LCM of 760, 116, 933, 619

1. What is the LCM of 856, 420, 912, 990?

Answer: LCM of 856, 420, 912, 990 is 112709520.

2. How to calculate the LCM of 856, 420, 912, 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 856, 420, 912, 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}.