Given numbers are 998,432,460,928

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

The LCM of 998,432,460,928 is 1437838560.

Find LCM of 998,432,460,928 with Prime Factorization

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

2 x 2 x 2 x 2 x 499 x 27 x 115 x 58 = 1437838560

Therefore, the lowest common multiple of 998,432,460,928 is 1437838560.

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.

998 x 432 x 460 x 928 = 184043335680

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.

998 : 1, 2, 499, 998

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,432,460,928, is 2.

Now, the common factors can be found like this.

998:2x 499

432:2x 2x 2x 2x 3x 3x 3

460:2x 2x 5x 23

928:2x 2x 2x 2x 2x 29

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 2 = 64

Therefore, the value for common factors is 64.

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 = 184043335680/(2x64)

LCM = 184043335680/128

LCM = 1437838560

Thus, we can understand that the LCM of 998,432,460,928 is 1437838560.

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

• LCM of 370, 112, 663, 680
• LCM of 846, 343, 398, 359
• LCM of 176, 197, 984, 946
• LCM of 733, 335, 171, 313
• LCM of 349, 931, 404, 276

1. What is the LCM of 998, 432, 460, 928?

Answer: LCM of 998, 432, 460, 928 is 1437838560.

2. How to calculate the LCM of 998, 432, 460, 928?

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 998, 432, 460, 928.

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}.