Given numbers are 310,104,566,942

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

The LCM of 310,104,566,942 is 2148683160.

Find LCM of 310,104,566,942 with Prime Factorization

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

2 x 155 x 52 x 283 x 471 = 2148683160

Therefore, the lowest common multiple of 310,104,566,942 is 2148683160.

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 104 x 566 x 942 = 17189465280

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

566 : 1, 2, 283, 566

942 : 1, 2, 3, 6, 157, 314, 471, 942

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,104,566,942, is 2.

Now, the common factors can be found like this.

310:2x 5x 31

104:2x 2x 2x 13

566:2x 283

942:2x 3x 157

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 = 17189465280/(2x4)

LCM = 17189465280/8

LCM = 2148683160

Thus, we can understand that the LCM of 310,104,566,942 is 2148683160.

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

• LCM of 503, 472, 817, 509
• LCM of 657, 908, 530, 990
• LCM of 898, 267, 857, 680
• LCM of 175, 821, 145, 227
• LCM of 669, 450, 311, 858

1. What is the LCM of 310, 104, 566, 942?

Answer: LCM of 310, 104, 566, 942 is 2148683160.

2. How to calculate the LCM of 310, 104, 566, 942?

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, 104, 566, 942.

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}.