Given numbers are 981,214,528,440,455

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

The LCM of 981,214,528,440,455 is 8405757360.

Find LCM of 981,214,528,440,455 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 327 x 107 x 2 x 1 x 91 = 8405757360

Therefore, the lowest common multiple of 981,214,528,440,455 is 8405757360.

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.

981 x 214 x 528 x 440 x 455 = 22191199430400

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.

981 : 1, 3, 9, 109, 327, 981

214 : 1, 2, 107, 214

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

455 : 1, 5, 7, 13, 35, 65, 91, 455

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,214,528,440,455, is 1.

Now, the common factors can be found like this.

981:3x 3x 109

214:2x 107

528:2x 2x 2x 2x 3x 11

440:2x 2x 2x 5x 11

455:5x 7x 13

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 5x 11 = 2640

Therefore, the value for common factors is 2640.

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 = 22191199430400/(1x2640)

LCM = 22191199430400/2640

LCM = 8405757360

Thus, we can understand that the LCM of 981,214,528,440,455 is 8405757360.

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

• LCM of 502, 373, 155, 788, 633
• LCM of 828, 795, 941, 867, 607
• LCM of 822, 699, 972, 601, 854
• LCM of 591, 496, 844, 127, 668
• LCM of 273, 667, 777, 360, 804

1. What is the LCM of 981, 214, 528, 440, 455?

Answer: LCM of 981, 214, 528, 440, 455 is 8405757360.

2. How to calculate the LCM of 981, 214, 528, 440, 455?

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 981, 214, 528, 440, 455.

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}.