Given numbers are 812,928,461,478,396

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

The LCM of 812,928,461,478,396 is 70856555616.

Find LCM of 812,928,461,478,396 with Prime Factorization

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

2 x 2 x 29 x 7 x 8 x 461 x 239 x 99 = 70856555616

Therefore, the lowest common multiple of 812,928,461,478,396 is 70856555616.

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.

812 x 928 x 461 x 478 x 396 = 65754883611648

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.

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

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

461 : 1, 461

478 : 1, 2, 239, 478

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,928,461,478,396, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

928:2x 2x 2x 2x 2x 29

461:461

478:2x 239

396:2x 2x 3x 3x 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 2x 29 = 928

Therefore, the value for common factors is 928.

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 = 65754883611648/(1x928)

LCM = 65754883611648/928

LCM = 70856555616

Thus, we can understand that the LCM of 812,928,461,478,396 is 70856555616.

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

• LCM of 100, 665, 997, 867, 953
• LCM of 946, 480, 267, 398, 264
• LCM of 461, 254, 509, 687, 300
• LCM of 191, 910, 756, 838, 108
• LCM of 100, 441, 333, 447, 820

1. What is the LCM of 812, 928, 461, 478, 396?

Answer: LCM of 812, 928, 461, 478, 396 is 70856555616.

2. How to calculate the LCM of 812, 928, 461, 478, 396?

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 812, 928, 461, 478, 396.

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}.