Given numbers are 726,396,159,706,780

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

The LCM of 726,396,159,706,780 is 5297266260.

Find LCM of 726,396,159,706,780 with Prime Factorization

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

2 x 2 x 3 x 11 x 11 x 3 x 53 x 353 x 65 = 5297266260

Therefore, the lowest common multiple of 726,396,159,706,780 is 5297266260.

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 396 x 159 x 706 x 780 = 25172609267520

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

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

159 : 1, 3, 53, 159

706 : 1, 2, 353, 706

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,396,159,706,780, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

396:2x 2x 3x 3x 11

159:3x 53

706:2x 353

780:2x 2x 3x 5x 13

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 3x 3x 3x 11 = 4752

Therefore, the value for common factors is 4752.

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 = 25172609267520/(1x4752)

LCM = 25172609267520/4752

LCM = 5297266260

Thus, we can understand that the LCM of 726,396,159,706,780 is 5297266260.

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

• LCM of 923, 876, 973, 445, 304
• LCM of 528, 741, 807, 458, 647
• LCM of 846, 221, 708, 120, 823
• LCM of 172, 698, 459, 481, 774
• LCM of 818, 648, 382, 404, 297

1. What is the LCM of 726, 396, 159, 706, 780?

Answer: LCM of 726, 396, 159, 706, 780 is 5297266260.

2. How to calculate the LCM of 726, 396, 159, 706, 780?

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, 396, 159, 706, 780.

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}.