Given numbers are 822,100,814,334

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

The LCM of 822,100,814,334 is 2793525900.

Find LCM of 822,100,814,334 with Prime Factorization

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

2 x 411 x 50 x 407 x 167 = 2793525900

Therefore, the lowest common multiple of 822,100,814,334 is 2793525900.

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 100 x 814 x 334 = 22348207200

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

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

814 : 1, 2, 11, 22, 37, 74, 407, 814

334 : 1, 2, 167, 334

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,100,814,334, is 2.

Now, the common factors can be found like this.

822:2x 3x 137

100:2x 2x 5x 5

814:2x 11x 37

334:2x 167

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 22348207200/(2x4)

LCM = 22348207200/8

LCM = 2793525900

Thus, we can understand that the LCM of 822,100,814,334 is 2793525900.

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

• LCM of 172, 612, 818, 663
• LCM of 772, 375, 974, 155
• LCM of 480, 810, 548, 320
• LCM of 584, 231, 734, 492
• LCM of 404, 327, 844, 215

1. What is the LCM of 822, 100, 814, 334?

Answer: LCM of 822, 100, 814, 334 is 2793525900.

2. How to calculate the LCM of 822, 100, 814, 334?

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, 100, 814, 334.

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}.