Given numbers are 562,120,317,310

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

The LCM of 562,120,317,310 is 331366440.

Find LCM of 562,120,317,310 with Prime Factorization

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

2 x 5 x 281 x 12 x 317 x 31 = 331366440

Therefore, the lowest common multiple of 562,120,317,310 is 331366440.

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.

562 x 120 x 317 x 310 = 6627328800

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.

562 : 1, 2, 281, 562

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

317 : 1, 317

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,120,317,310, is 1.

Now, the common factors can be found like this.

562:2x 281

120:2x 2x 2x 3x 5

317:317

310:2x 5x 31

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 5 = 20

Therefore, the value for common factors is 20.

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 = 6627328800/(1x20)

LCM = 6627328800/20

LCM = 331366440

Thus, we can understand that the LCM of 562,120,317,310 is 331366440.

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

• LCM of 198, 745, 627, 185
• LCM of 440, 626, 813, 800
• LCM of 466, 451, 493, 242
• LCM of 839, 567, 379, 705
• LCM of 188, 975, 142, 907

1. What is the LCM of 562, 120, 317, 310?

Answer: LCM of 562, 120, 317, 310 is 331366440.

2. How to calculate the LCM of 562, 120, 317, 310?

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 562, 120, 317, 310.

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}.