Given numbers are 338,415,202,742

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

The LCM of 338,415,202,742 is 5256057170.

Find LCM of 338,415,202,742 with Prime Factorization

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

2 x 169 x 415 x 101 x 371 = 5256057170

Therefore, the lowest common multiple of 338,415,202,742 is 5256057170.

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 415 x 202 x 742 = 21024228680

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

415 : 1, 5, 83, 415

202 : 1, 2, 101, 202

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,415,202,742, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

415:5x 83

202:2x 101

742:2x 7x 53

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 = 21024228680/(1x4)

LCM = 21024228680/4

LCM = 5256057170

Thus, we can understand that the LCM of 338,415,202,742 is 5256057170.

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

• LCM of 806, 303, 446, 231
• LCM of 102, 719, 804, 828
• LCM of 640, 441, 647, 105
• LCM of 399, 275, 544, 401
• LCM of 775, 712, 510, 405

1. What is the LCM of 338, 415, 202, 742?

Answer: LCM of 338, 415, 202, 742 is 5256057170.

2. How to calculate the LCM of 338, 415, 202, 742?

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, 415, 202, 742.

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}.