Given numbers are 488,486,976,496,619

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

The LCM of 488,486,976,496,619 is 4551016752.

Find LCM of 488,486,976,496,619 with Prime Factorization

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

2 x 2 x 2 x 2 x 61 x 1 x 243 x 1 x 31 x 619 = 4551016752

Therefore, the lowest common multiple of 488,486,976,496,619 is 4551016752.

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 486 x 976 x 496 x 619 = 71068677599232

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

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

619 : 1, 619

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,486,976,496,619, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

486:2x 3x 3x 3x 3x 3

976:2x 2x 2x 2x 61

496:2x 2x 2x 2x 31

619:619

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 2x 2x 61 = 15616

Therefore, the value for common factors is 15616.

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 = 71068677599232/(1x15616)

LCM = 71068677599232/15616

LCM = 4551016752

Thus, we can understand that the LCM of 488,486,976,496,619 is 4551016752.

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

• LCM of 733, 394, 289, 394, 694
• LCM of 968, 544, 603, 531, 486
• LCM of 601, 418, 949, 835, 739
• LCM of 574, 411, 510, 227, 449
• LCM of 795, 387, 162, 123, 355

1. What is the LCM of 488, 486, 976, 496, 619?

Answer: LCM of 488, 486, 976, 496, 619 is 4551016752.

2. How to calculate the LCM of 488, 486, 976, 496, 619?

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, 486, 976, 496, 619.

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}.