Given numbers are 910,728,812,274,409

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

The LCM of 910,728,812,274,409 is 5914843480.

Find LCM of 910,728,812,274,409 with Prime Factorization

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

2 x 2 x 7 x 13 x 5 x 2 x 29 x 137 x 409 = 5914843480

Therefore, the lowest common multiple of 910,728,812,274,409 is 5914843480.

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.

910 x 728 x 812 x 274 x 409 = 60284084748160

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

274 : 1, 2, 137, 274

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,728,812,274,409, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

728:2x 2x 2x 7x 13

812:2x 2x 7x 29

274:2x 137

409:409

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 7x 7x 13 = 10192

Therefore, the value for common factors is 10192.

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 = 60284084748160/(1x10192)

LCM = 60284084748160/10192

LCM = 5914843480

Thus, we can understand that the LCM of 910,728,812,274,409 is 5914843480.

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

• LCM of 524, 856, 466, 811, 233
• LCM of 209, 189, 348, 211, 737
• LCM of 554, 683, 161, 137, 145
• LCM of 250, 113, 506, 396, 370
• LCM of 598, 756, 659, 424, 881

1. What is the LCM of 910, 728, 812, 274, 409?

Answer: LCM of 910, 728, 812, 274, 409 is 5914843480.

2. How to calculate the LCM of 910, 728, 812, 274, 409?

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 910, 728, 812, 274, 409.

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}.