Given numbers are 310,362,212,364

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

The LCM of 310,362,212,364 is 541237060.

Find LCM of 310,362,212,364 with Prime Factorization

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

2 x 2 x 155 x 181 x 53 x 91 = 541237060

Therefore, the lowest common multiple of 310,362,212,364 is 541237060.

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 362 x 212 x 364 = 8659792960

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

362 : 1, 2, 181, 362

212 : 1, 2, 4, 53, 106, 212

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,362,212,364, is 2.

Now, the common factors can be found like this.

310:2x 5x 31

362:2x 181

212:2x 2x 53

364:2x 2x 7x 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 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 8659792960/(2x8)

LCM = 8659792960/16

LCM = 541237060

Thus, we can understand that the LCM of 310,362,212,364 is 541237060.

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

• LCM of 816, 842, 892, 180
• LCM of 431, 649, 305, 499
• LCM of 499, 605, 856, 706
• LCM of 659, 902, 796, 603
• LCM of 108, 465, 874, 332

1. What is the LCM of 310, 362, 212, 364?

Answer: LCM of 310, 362, 212, 364 is 541237060.

2. How to calculate the LCM of 310, 362, 212, 364?

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, 362, 212, 364.

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}.