Given numbers are 488,319,974,990

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

The LCM of 488,319,974,990 is 3411551880.

Find LCM of 488,319,974,990 with Prime Factorization

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

2 x 11 x 244 x 29 x 487 x 45 = 3411551880

Therefore, the lowest common multiple of 488,319,974,990 is 3411551880.

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.

488 x 319 x 974 x 990 = 150108282720

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

319 : 1, 11, 29, 319

974 : 1, 2, 487, 974

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,319,974,990, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

319:11x 29

974:2x 487

990:2x 3x 3x 5x 11

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 11 = 44

Therefore, the value for common factors is 44.

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 = 150108282720/(1x44)

LCM = 150108282720/44

LCM = 3411551880

Thus, we can understand that the LCM of 488,319,974,990 is 3411551880.

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

• LCM of 438, 237, 380, 291
• LCM of 149, 111, 783, 884
• LCM of 215, 916, 581, 622
• LCM of 599, 988, 262, 817
• LCM of 876, 607, 518, 796

1. What is the LCM of 488, 319, 974, 990?

Answer: LCM of 488, 319, 974, 990 is 3411551880.

2. How to calculate the LCM of 488, 319, 974, 990?

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 488, 319, 974, 990.

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}.