Given numbers are 313,965,361,108,416

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

The LCM of 313,965,361,108,416 is 1224717567840.

Find LCM of 313,965,361,108,416 with Prime Factorization

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

2 x 2 x 313 x 965 x 361 x 27 x 104 = 1224717567840

Therefore, the lowest common multiple of 313,965,361,108,416 is 1224717567840.

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.

313 x 965 x 361 x 108 x 416 = 4898870271360

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.

313 : 1, 313

965 : 1, 5, 193, 965

361 : 1, 19, 361

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,965,361,108,416, is 1.

Now, the common factors can be found like this.

313:313

965:5x 193

361:19x 19

108:2x 2x 3x 3x 3

416:2x 2x 2x 2x 2x 13

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 = 4898870271360/(1x4)

LCM = 4898870271360/4

LCM = 1224717567840

Thus, we can understand that the LCM of 313,965,361,108,416 is 1224717567840.

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

• LCM of 298, 644, 113, 582, 753
• LCM of 599, 702, 632, 548, 134
• LCM of 820, 347, 269, 705, 542
• LCM of 823, 241, 888, 117, 599
• LCM of 986, 784, 784, 672, 259

1. What is the LCM of 313, 965, 361, 108, 416?

Answer: LCM of 313, 965, 361, 108, 416 is 1224717567840.

2. How to calculate the LCM of 313, 965, 361, 108, 416?

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 313, 965, 361, 108, 416.

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}.