Given numbers are 460,133,318,804,571

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

The LCM of 460,133,318,804,571 is 372149558340.

Find LCM of 460,133,318,804,571 with Prime Factorization

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

2 x 2 x 3 x 115 x 133 x 53 x 67 x 571 = 372149558340

Therefore, the lowest common multiple of 460,133,318,804,571 is 372149558340.

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 133 x 318 x 804 x 571 = 8931589400160

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

133 : 1, 7, 19, 133

318 : 1, 2, 3, 6, 53, 106, 159, 318

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

571 : 1, 571

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,133,318,804,571, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

133:7x 19

318:2x 3x 53

804:2x 2x 3x 67

571:571

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 3 = 24

Therefore, the value for common factors is 24.

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 = 8931589400160/(1x24)

LCM = 8931589400160/24

LCM = 372149558340

Thus, we can understand that the LCM of 460,133,318,804,571 is 372149558340.

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

• LCM of 846, 998, 199, 578, 972
• LCM of 199, 262, 819, 732, 126
• LCM of 955, 384, 678, 339, 834
• LCM of 725, 342, 572, 703, 674
• LCM of 496, 388, 400, 173, 542

1. What is the LCM of 460, 133, 318, 804, 571?

Answer: LCM of 460, 133, 318, 804, 571 is 372149558340.

2. How to calculate the LCM of 460, 133, 318, 804, 571?

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, 133, 318, 804, 571.

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}.