Given numbers are 331,461,702,912,984

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

The LCM of 331,461,702,912,984 is 667564872624.

Find LCM of 331,461,702,912,984 with Prime Factorization

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

2 x 2 x 2 x 3 x 331 x 461 x 117 x 38 x 41 = 667564872624

Therefore, the lowest common multiple of 331,461,702,912,984 is 667564872624.

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.

331 x 461 x 702 x 912 x 984 = 96129341657856

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.

331 : 1, 331

461 : 1, 461

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,461,702,912,984, is 1.

Now, the common factors can be found like this.

331:331

461:461

702:2x 3x 3x 3x 13

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

984:2x 2x 2x 3x 41

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 96129341657856/(1x144)

LCM = 96129341657856/144

LCM = 667564872624

Thus, we can understand that the LCM of 331,461,702,912,984 is 667564872624.

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

• LCM of 484, 624, 308, 304, 224
• LCM of 307, 525, 386, 506, 598
• LCM of 322, 500, 416, 786, 749
• LCM of 506, 502, 517, 359, 666
• LCM of 441, 271, 417, 838, 421

1. What is the LCM of 331, 461, 702, 912, 984?

Answer: LCM of 331, 461, 702, 912, 984 is 667564872624.

2. How to calculate the LCM of 331, 461, 702, 912, 984?

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 331, 461, 702, 912, 984.

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}.