Given numbers are 822,225,411,281

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

The LCM of 822,225,411,281 is 17323650.

Find LCM of 822,225,411,281 with Prime Factorization

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

3 x 137 x 2 x 75 x 1 x 281 = 17323650

Therefore, the lowest common multiple of 822,225,411,281 is 17323650.

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.

822 x 225 x 411 x 281 = 21360060450

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.

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

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

411 : 1, 3, 137, 411

281 : 1, 281

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,225,411,281, is 1.

Now, the common factors can be found like this.

822:2x 3x 137

225:3x 3x 5x 5

411:3x 137

281:281

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 137 = 1233

Therefore, the value for common factors is 1233.

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 = 21360060450/(1x1233)

LCM = 21360060450/1233

LCM = 17323650

Thus, we can understand that the LCM of 822,225,411,281 is 17323650.

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

• LCM of 819, 525, 254, 306
• LCM of 807, 887, 505, 917
• LCM of 880, 273, 588, 541
• LCM of 679, 826, 332, 501
• LCM of 695, 540, 455, 563

1. What is the LCM of 822, 225, 411, 281?

Answer: LCM of 822, 225, 411, 281 is 17323650.

2. How to calculate the LCM of 822, 225, 411, 281?

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 822, 225, 411, 281.

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}.