Given numbers are 683,677,742,596,270

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

The LCM of 683,677,742,596,270 is 13802676528060.

Find LCM of 683,677,742,596,270 with Prime Factorization

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

2 x 683 x 677 x 371 x 298 x 135 = 13802676528060

Therefore, the lowest common multiple of 683,677,742,596,270 is 13802676528060.

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.

683 x 677 x 742 x 596 x 270 = 55210706112240

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.

683 : 1, 683

677 : 1, 677

742 : 1, 2, 7, 14, 53, 106, 371, 742

596 : 1, 2, 4, 149, 298, 596

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,677,742,596,270, is 1.

Now, the common factors can be found like this.

683:683

677:677

742:2x 7x 53

596:2x 2x 149

270:2x 3x 3x 3x 5

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 = 55210706112240/(1x4)

LCM = 55210706112240/4

LCM = 13802676528060

Thus, we can understand that the LCM of 683,677,742,596,270 is 13802676528060.

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

• LCM of 846, 618, 936, 257, 809
• LCM of 120, 662, 401, 185, 686
• LCM of 255, 142, 783, 775, 960
• LCM of 528, 713, 607, 920, 606
• LCM of 908, 419, 501, 129, 445

1. What is the LCM of 683, 677, 742, 596, 270?

Answer: LCM of 683, 677, 742, 596, 270 is 13802676528060.

2. How to calculate the LCM of 683, 677, 742, 596, 270?

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 683, 677, 742, 596, 270.

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}.