Given numbers are 422,510,916

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

The LCM of 422,510,916 is 49285380.

Find LCM of 422,510,916 with Prime Factorization

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

2 x 211 x 255 x 458 = 49285380

Therefore, the lowest common multiple of 422,510,916 is 49285380.

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.

422 x 510 x 916 = 197141520

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.

422 : 1, 2, 211, 422

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

916 : 1, 2, 4, 229, 458, 916

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,510,916, is 2.

Now, the common factors can be found like this.

422:2x 211

510:2x 3x 5x 17

916:2x 2x 229

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

2 = 2

Therefore, the value for common factors is 2.

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 = 197141520/(2x2)

LCM = 197141520/4

LCM = 49285380

Thus, we can understand that the LCM of 422,510,916 is 49285380.

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

• LCM of 566, 863, 272
• LCM of 851, 923, 503
• LCM of 138, 175, 124
• LCM of 687, 421, 178
• LCM of 791, 546, 101

1. What is the LCM of 422, 510, 916?

Answer: LCM of 422, 510, 916 is 49285380.

2. How to calculate the LCM of 422, 510, 916?

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 422, 510, 916.

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}.