Given numbers are 498,728,214,917

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

The LCM of 498,728,214,917 is 2540889624.

Find LCM of 498,728,214,917 with Prime Factorization

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

2 x 7 x 249 x 52 x 107 x 131 = 2540889624

Therefore, the lowest common multiple of 498,728,214,917 is 2540889624.

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.

498 x 728 x 214 x 917 = 71144909472

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.

498 : 1, 2, 3, 6, 83, 166, 249, 498

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

214 : 1, 2, 107, 214

917 : 1, 7, 131, 917

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,728,214,917, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

728:2x 2x 2x 7x 13

214:2x 107

917:7x 131

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 7 = 28

Therefore, the value for common factors is 28.

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 = 71144909472/(1x28)

LCM = 71144909472/28

LCM = 2540889624

Thus, we can understand that the LCM of 498,728,214,917 is 2540889624.

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

• LCM of 631, 252, 217, 461
• LCM of 268, 370, 593, 596
• LCM of 103, 818, 361, 777
• LCM of 466, 824, 990, 495
• LCM of 903, 664, 852, 255

1. What is the LCM of 498, 728, 214, 917?

Answer: LCM of 498, 728, 214, 917 is 2540889624.

2. How to calculate the LCM of 498, 728, 214, 917?

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 498, 728, 214, 917.

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}.