Given numbers are 338,740,493,156,717

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

The LCM of 338,740,493,156,717 is 44206333860.

Find LCM of 338,740,493,156,717 with Prime Factorization

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

2 x 2 x 3 x 13 x 1 x 185 x 493 x 13 x 239 = 44206333860

Therefore, the lowest common multiple of 338,740,493,156,717 is 44206333860.

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.

338 x 740 x 493 x 156 x 717 = 13792376164320

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.

338 : 1, 2, 13, 26, 169, 338

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

493 : 1, 17, 29, 493

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,740,493,156,717, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

740:2x 2x 5x 37

493:17x 29

156:2x 2x 3x 13

717:3x 239

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 13 = 312

Therefore, the value for common factors is 312.

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 = 13792376164320/(1x312)

LCM = 13792376164320/312

LCM = 44206333860

Thus, we can understand that the LCM of 338,740,493,156,717 is 44206333860.

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

• LCM of 826, 384, 181, 826, 475
• LCM of 836, 650, 978, 655, 627
• LCM of 943, 686, 660, 367, 389
• LCM of 510, 875, 842, 852, 142
• LCM of 404, 868, 808, 678, 846

1. What is the LCM of 338, 740, 493, 156, 717?

Answer: LCM of 338, 740, 493, 156, 717 is 44206333860.

2. How to calculate the LCM of 338, 740, 493, 156, 717?

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 338, 740, 493, 156, 717.

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}.