Given numbers are 488,578,449,909

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

The LCM of 488,578,449,909 is 57560941512.

Find LCM of 488,578,449,909 with Prime Factorization

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

2 x 244 x 289 x 449 x 909 = 57560941512

Therefore, the lowest common multiple of 488,578,449,909 is 57560941512.

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 578 x 449 x 909 = 115121883024

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

578 : 1, 2, 17, 34, 289, 578

449 : 1, 449

909 : 1, 3, 9, 101, 303, 909

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,578,449,909, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

578:2x 17x 17

449:449

909:3x 3x 101

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 115121883024/(1x2)

LCM = 115121883024/2

LCM = 57560941512

Thus, we can understand that the LCM of 488,578,449,909 is 57560941512.

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

• LCM of 620, 772, 608, 936
• LCM of 335, 762, 805, 237
• LCM of 123, 662, 774, 526
• LCM of 786, 549, 334, 770
• LCM of 308, 684, 242, 285

1. What is the LCM of 488, 578, 449, 909?

Answer: LCM of 488, 578, 449, 909 is 57560941512.

2. How to calculate the LCM of 488, 578, 449, 909?

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, 578, 449, 909.

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}.