Given numbers are 460,900,796,914,346

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

The LCM of 460,900,796,914,346 is 325675977300.

Find LCM of 460,900,796,914,346 with Prime Factorization

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

2 x 2 x 5 x 23 x 45 x 199 x 457 x 173 = 325675977300

Therefore, the lowest common multiple of 460,900,796,914,346 is 325675977300.

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 900 x 796 x 914 x 346 = 104216312736000

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

796 : 1, 2, 4, 199, 398, 796

914 : 1, 2, 457, 914

346 : 1, 2, 173, 346

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,900,796,914,346, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

900:2x 2x 3x 3x 5x 5

796:2x 2x 199

914:2x 457

346:2x 173

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 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 104216312736000/(2x160)

LCM = 104216312736000/320

LCM = 325675977300

Thus, we can understand that the LCM of 460,900,796,914,346 is 325675977300.

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

• LCM of 987, 841, 679, 455, 333
• LCM of 146, 928, 948, 667, 335
• LCM of 559, 478, 743, 580, 306
• LCM of 533, 272, 182, 972, 931
• LCM of 535, 568, 520, 411, 465

1. What is the LCM of 460, 900, 796, 914, 346?

Answer: LCM of 460, 900, 796, 914, 346 is 325675977300.

2. How to calculate the LCM of 460, 900, 796, 914, 346?

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, 900, 796, 914, 346.

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}.