Given numbers are 468,274,500,331,812

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

The LCM of 468,274,500,331,812 is 538518298500.

Find LCM of 468,274,500,331,812 with Prime Factorization

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

2 x 2 x 117 x 137 x 125 x 331 x 203 = 538518298500

Therefore, the lowest common multiple of 468,274,500,331,812 is 538518298500.

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.

468 x 274 x 500 x 331 x 812 = 17232585552000

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

274 : 1, 2, 137, 274

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

331 : 1, 331

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,274,500,331,812, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

274:2x 137

500:2x 2x 5x 5x 5

331:331

812:2x 2x 7x 29

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 2 = 32

Therefore, the value for common factors is 32.

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 = 17232585552000/(1x32)

LCM = 17232585552000/32

LCM = 538518298500

Thus, we can understand that the LCM of 468,274,500,331,812 is 538518298500.

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

• LCM of 339, 333, 440, 389, 592
• LCM of 850, 173, 199, 248, 984
• LCM of 125, 114, 523, 496, 118
• LCM of 949, 756, 954, 127, 292
• LCM of 849, 820, 288, 998, 380

1. What is the LCM of 468, 274, 500, 331, 812?

Answer: LCM of 468, 274, 500, 331, 812 is 538518298500.

2. How to calculate the LCM of 468, 274, 500, 331, 812?

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 468, 274, 500, 331, 812.

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}.