Given numbers are 398,112,457,912,582

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

The LCM of 398,112,457,912,582 is 56316270864.

Find LCM of 398,112,457,912,582 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 199 x 7 x 457 x 19 x 97 = 56316270864

Therefore, the lowest common multiple of 398,112,457,912,582 is 56316270864.

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.

398 x 112 x 457 x 912 x 582 = 10812724005888

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.

398 : 1, 2, 199, 398

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

457 : 1, 457

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

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,112,457,912,582, is 1.

Now, the common factors can be found like this.

398:2x 199

112:2x 2x 2x 2x 7

457:457

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

582:2x 3x 97

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 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 10812724005888/(1x192)

LCM = 10812724005888/192

LCM = 56316270864

Thus, we can understand that the LCM of 398,112,457,912,582 is 56316270864.

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

• LCM of 474, 281, 153, 925, 200
• LCM of 754, 785, 834, 315, 661
• LCM of 519, 121, 768, 114, 699
• LCM of 401, 678, 737, 990, 776
• LCM of 172, 179, 404, 742, 866

1. What is the LCM of 398, 112, 457, 912, 582?

Answer: LCM of 398, 112, 457, 912, 582 is 56316270864.

2. How to calculate the LCM of 398, 112, 457, 912, 582?

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 398, 112, 457, 912, 582.

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}.