Given numbers are 822,497,421,284

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

The LCM of 822,497,421,284 is 343985628.

Find LCM of 822,497,421,284 with Prime Factorization

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

2 x 71 x 411 x 7 x 421 x 2 = 343985628

Therefore, the lowest common multiple of 822,497,421,284 is 343985628.

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 497 x 421 x 284 = 48845959176

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

497 : 1, 7, 71, 497

421 : 1, 421

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,497,421,284, is 1.

Now, the common factors can be found like this.

822:2x 3x 137

497:7x 71

421:421

284:2x 2x 71

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 48845959176/(1x142)

LCM = 48845959176/142

LCM = 343985628

Thus, we can understand that the LCM of 822,497,421,284 is 343985628.

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

• LCM of 146, 732, 335, 568
• LCM of 270, 966, 995, 866
• LCM of 272, 448, 976, 915
• LCM of 152, 735, 924, 167
• LCM of 654, 290, 787, 844

1. What is the LCM of 822, 497, 421, 284?

Answer: LCM of 822, 497, 421, 284 is 343985628.

2. How to calculate the LCM of 822, 497, 421, 284?

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, 497, 421, 284.

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}.