Given numbers are 462,617,596,336,484

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

The LCM of 462,617,596,336,484 is 3737628048.

Find LCM of 462,617,596,336,484 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 1 x 617 x 149 x 4 x 11 = 3737628048

Therefore, the lowest common multiple of 462,617,596,336,484 is 3737628048.

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.

462 x 617 x 596 x 336 x 484 = 27628546530816

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

617 : 1, 617

596 : 1, 2, 4, 149, 298, 596

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,617,596,336,484, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

617:617

596:2x 2x 149

336:2x 2x 2x 2x 3x 7

484:2x 2x 11x 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 2x 2x 2x 3x 7x 11 = 7392

Therefore, the value for common factors is 7392.

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 = 27628546530816/(1x7392)

LCM = 27628546530816/7392

LCM = 3737628048

Thus, we can understand that the LCM of 462,617,596,336,484 is 3737628048.

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

• LCM of 849, 502, 352, 661, 637
• LCM of 671, 905, 721, 597, 212
• LCM of 490, 206, 165, 867, 192
• LCM of 586, 997, 488, 845, 851
• LCM of 435, 378, 485, 778, 121

1. What is the LCM of 462, 617, 596, 336, 484?

Answer: LCM of 462, 617, 596, 336, 484 is 3737628048.

2. How to calculate the LCM of 462, 617, 596, 336, 484?

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 462, 617, 596, 336, 484.

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}.