Given numbers are 726,370,398,809,409

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

The LCM of 726,370,398,809,409 is 8843684794890.

Find LCM of 726,370,398,809,409 with Prime Factorization

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

2 x 363 x 185 x 199 x 809 x 409 = 8843684794890

Therefore, the lowest common multiple of 726,370,398,809,409 is 8843684794890.

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 370 x 398 x 809 x 409 = 35374739179560

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

370 : 1, 2, 5, 10, 37, 74, 185, 370

398 : 1, 2, 199, 398

809 : 1, 809

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,370,398,809,409, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

370:2x 5x 37

398:2x 199

809:809

409:409

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 35374739179560/(1x4)

LCM = 35374739179560/4

LCM = 8843684794890

Thus, we can understand that the LCM of 726,370,398,809,409 is 8843684794890.

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

• LCM of 151, 157, 922, 278, 142
• LCM of 119, 693, 389, 674, 529
• LCM of 473, 249, 359, 681, 543
• LCM of 252, 487, 501, 980, 864
• LCM of 586, 499, 658, 461, 604

1. What is the LCM of 726, 370, 398, 809, 409?

Answer: LCM of 726, 370, 398, 809, 409 is 8843684794890.

2. How to calculate the LCM of 726, 370, 398, 809, 409?

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, 370, 398, 809, 409.

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}.