Given numbers are 461,792,412,533

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

The LCM of 461,792,412,533 is 20044283688.

Find LCM of 461,792,412,533 with Prime Factorization

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

2 x 2 x 461 x 198 x 103 x 533 = 20044283688

Therefore, the lowest common multiple of 461,792,412,533 is 20044283688.

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.

461 x 792 x 412 x 533 = 80177134752

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.

461 : 1, 461

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

412 : 1, 2, 4, 103, 206, 412

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,792,412,533, is 1.

Now, the common factors can be found like this.

461:461

792:2x 2x 2x 3x 3x 11

412:2x 2x 103

533:13x 41

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 = 80177134752/(1x4)

LCM = 80177134752/4

LCM = 20044283688

Thus, we can understand that the LCM of 461,792,412,533 is 20044283688.

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

• LCM of 347, 576, 524, 801
• LCM of 539, 845, 506, 180
• LCM of 724, 321, 466, 368
• LCM of 443, 629, 680, 958
• LCM of 831, 855, 354, 175

1. What is the LCM of 461, 792, 412, 533?

Answer: LCM of 461, 792, 412, 533 is 20044283688.

2. How to calculate the LCM of 461, 792, 412, 533?

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 461, 792, 412, 533.

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}.