Given numbers are 488,446,316,758

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

The LCM of 488,446,316,758 is 3258299384.

Find LCM of 488,446,316,758 with Prime Factorization

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

2 x 2 x 122 x 223 x 79 x 379 = 3258299384

Therefore, the lowest common multiple of 488,446,316,758 is 3258299384.

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 446 x 316 x 758 = 52132790144

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

446 : 1, 2, 223, 446

316 : 1, 2, 4, 79, 158, 316

758 : 1, 2, 379, 758

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,446,316,758, is 2.

Now, the common factors can be found like this.

488:2x 2x 2x 61

446:2x 223

316:2x 2x 79

758:2x 379

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 2 = 8

Therefore, the value for common factors is 8.

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 = 52132790144/(2x8)

LCM = 52132790144/16

LCM = 3258299384

Thus, we can understand that the LCM of 488,446,316,758 is 3258299384.

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

• LCM of 573, 168, 194, 935
• LCM of 390, 488, 605, 394
• LCM of 596, 446, 220, 526
• LCM of 930, 614, 508, 192
• LCM of 427, 159, 498, 488

1. What is the LCM of 488, 446, 316, 758?

Answer: LCM of 488, 446, 316, 758 is 3258299384.

2. How to calculate the LCM of 488, 446, 316, 758?

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, 446, 316, 758.

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}.