Given numbers are 310,596,268,404,194

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

The LCM of 310,596,268,404,194 is 60638139620.

Find LCM of 310,596,268,404,194 with Prime Factorization

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

2 x 2 x 155 x 149 x 67 x 101 x 97 = 60638139620

Therefore, the lowest common multiple of 310,596,268,404,194 is 60638139620.

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.

310 x 596 x 268 x 404 x 194 = 3880840935680

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

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

268 : 1, 2, 4, 67, 134, 268

404 : 1, 2, 4, 101, 202, 404

194 : 1, 2, 97, 194

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,596,268,404,194, is 2.

Now, the common factors can be found like this.

310:2x 5x 31

596:2x 2x 149

268:2x 2x 67

404:2x 2x 101

194:2x 97

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 2 = 32

Therefore, the value for common factors is 32.

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 = 3880840935680/(2x32)

LCM = 3880840935680/64

LCM = 60638139620

Thus, we can understand that the LCM of 310,596,268,404,194 is 60638139620.

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

• LCM of 382, 248, 112, 435, 593
• LCM of 264, 417, 226, 883, 745
• LCM of 810, 749, 397, 304, 865
• LCM of 659, 874, 547, 367, 673
• LCM of 973, 168, 594, 216, 891

1. What is the LCM of 310, 596, 268, 404, 194?

Answer: LCM of 310, 596, 268, 404, 194 is 60638139620.

2. How to calculate the LCM of 310, 596, 268, 404, 194?

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 310, 596, 268, 404, 194.

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}.