Given numbers are 705,363,816,498,620

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

The LCM of 705,363,816,498,620 is 59701216080.

Find LCM of 705,363,816,498,620 with Prime Factorization

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

2 x 2 x 3 x 5 x 47 x 121 x 68 x 83 x 31 = 59701216080

Therefore, the lowest common multiple of 705,363,816,498,620 is 59701216080.

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 363 x 816 x 498 x 620 = 64477313366400

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

363 : 1, 3, 11, 33, 121, 363

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

498 : 1, 2, 3, 6, 83, 166, 249, 498

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,363,816,498,620, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

363:3x 11x 11

816:2x 2x 2x 2x 3x 17

498:2x 3x 83

620:2x 2x 5x 31

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 3x 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 64477313366400/(1x1080)

LCM = 64477313366400/1080

LCM = 59701216080

Thus, we can understand that the LCM of 705,363,816,498,620 is 59701216080.

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

• LCM of 343, 113, 243, 583, 589
• LCM of 459, 163, 274, 925, 382
• LCM of 917, 150, 917, 481, 322
• LCM of 782, 325, 455, 409, 222
• LCM of 416, 940, 259, 667, 824

1. What is the LCM of 705, 363, 816, 498, 620?

Answer: LCM of 705, 363, 816, 498, 620 is 59701216080.

2. How to calculate the LCM of 705, 363, 816, 498, 620?

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, 363, 816, 498, 620.

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}.