Given numbers are 828,217,213,128,822

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

The LCM of 828,217,213,128,822 is 55926670464.

Find LCM of 828,217,213,128,822 with Prime Factorization

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

2 x 2 x 3 x 69 x 217 x 71 x 32 x 137 = 55926670464

Therefore, the lowest common multiple of 828,217,213,128,822 is 55926670464.

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.

828 x 217 x 213 x 128 x 822 = 4026720273408

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

217 : 1, 7, 31, 217

213 : 1, 3, 71, 213

128 : 1, 2, 4, 8, 16, 32, 64, 128

822 : 1, 2, 3, 6, 137, 274, 411, 822

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,217,213,128,822, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

217:7x 31

213:3x 71

128:2x 2x 2x 2x 2x 2x 2

822:2x 3x 137

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 4026720273408/(1x72)

LCM = 4026720273408/72

LCM = 55926670464

Thus, we can understand that the LCM of 828,217,213,128,822 is 55926670464.

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

• LCM of 343, 873, 666, 971, 710
• LCM of 144, 383, 335, 745, 512
• LCM of 911, 275, 780, 145, 328
• LCM of 490, 312, 231, 449, 699
• LCM of 212, 888, 571, 593, 575

1. What is the LCM of 828, 217, 213, 128, 822?

Answer: LCM of 828, 217, 213, 128, 822 is 55926670464.

2. How to calculate the LCM of 828, 217, 213, 128, 822?

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 828, 217, 213, 128, 822.

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}.