Given numbers are 726,546,717,290,198

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

The LCM of 726,546,717,290,198 is 6868551690.

Find LCM of 726,546,717,290,198 with Prime Factorization

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

2 x 3 x 11 x 11 x 91 x 239 x 145 x 3 = 6868551690

Therefore, the lowest common multiple of 726,546,717,290,198 is 6868551690.

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.

726 x 546 x 717 x 290 x 198 = 16319678815440

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

717 : 1, 3, 239, 717

290 : 1, 2, 5, 10, 29, 58, 145, 290

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,546,717,290,198, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

546:2x 3x 7x 13

717:3x 239

290:2x 5x 29

198:2x 3x 3x 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 3x 3x 3x 11 = 2376

Therefore, the value for common factors is 2376.

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 = 16319678815440/(1x2376)

LCM = 16319678815440/2376

LCM = 6868551690

Thus, we can understand that the LCM of 726,546,717,290,198 is 6868551690.

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

• LCM of 111, 796, 805, 502, 438
• LCM of 625, 604, 851, 306, 882
• LCM of 679, 805, 902, 598, 125
• LCM of 531, 481, 464, 444, 110
• LCM of 458, 348, 130, 832, 291

1. What is the LCM of 726, 546, 717, 290, 198?

Answer: LCM of 726, 546, 717, 290, 198 is 6868551690.

2. How to calculate the LCM of 726, 546, 717, 290, 198?

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 726, 546, 717, 290, 198.

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}.