Given numbers are 705,418,639,579,669

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

The LCM of 705,418,639,579,669 is 2701513699830.

Find LCM of 705,418,639,579,669 with Prime Factorization

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

3 x 235 x 418 x 213 x 193 x 223 = 2701513699830

Therefore, the lowest common multiple of 705,418,639,579,669 is 2701513699830.

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.

705 x 418 x 639 x 579 x 669 = 72940869895410

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

418 : 1, 2, 11, 19, 22, 38, 209, 418

639 : 1, 3, 9, 71, 213, 639

579 : 1, 3, 193, 579

669 : 1, 3, 223, 669

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,418,639,579,669, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

418:2x 11x 19

639:3x 3x 71

579:3x 193

669:3x 223

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 72940869895410/(1x27)

LCM = 72940869895410/27

LCM = 2701513699830

Thus, we can understand that the LCM of 705,418,639,579,669 is 2701513699830.

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

• LCM of 567, 160, 667, 416, 119
• LCM of 109, 307, 142, 462, 468
• LCM of 382, 161, 685, 591, 621
• LCM of 634, 103, 245, 440, 816
• LCM of 821, 737, 754, 565, 770

1. What is the LCM of 705, 418, 639, 579, 669?

Answer: LCM of 705, 418, 639, 579, 669 is 2701513699830.

2. How to calculate the LCM of 705, 418, 639, 579, 669?

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 705, 418, 639, 579, 669.

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}.