Given numbers are 460,528,731,308

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

The LCM of 460,528,731,308 is 310704240.

Find LCM of 460,528,731,308 with Prime Factorization

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

2 x 2 x 11 x 115 x 12 x 731 x 7 = 310704240

Therefore, the lowest common multiple of 460,528,731,308 is 310704240.

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.

460 x 528 x 731 x 308 = 54683946240

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

731 : 1, 17, 43, 731

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,528,731,308, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

528:2x 2x 2x 2x 3x 11

731:17x 43

308:2x 2x 7x 11

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 11 = 176

Therefore, the value for common factors is 176.

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 = 54683946240/(1x176)

LCM = 54683946240/176

LCM = 310704240

Thus, we can understand that the LCM of 460,528,731,308 is 310704240.

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

• LCM of 510, 338, 196, 494
• LCM of 885, 207, 900, 801
• LCM of 251, 422, 715, 158
• LCM of 940, 134, 443, 953
• LCM of 701, 455, 264, 286

1. What is the LCM of 460, 528, 731, 308?

Answer: LCM of 460, 528, 731, 308 is 310704240.

2. How to calculate the LCM of 460, 528, 731, 308?

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 460, 528, 731, 308.

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}.