Given numbers are 212,416,476,990

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

The LCM of 212,416,476,990 is 1298737440.

Find LCM of 212,416,476,990 with Prime Factorization

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

2 x 2 x 53 x 104 x 119 x 495 = 1298737440

Therefore, the lowest common multiple of 212,416,476,990 is 1298737440.

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.

212 x 416 x 476 x 990 = 41559598080

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.

212 : 1, 2, 4, 53, 106, 212

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,416,476,990, is 2.

Now, the common factors can be found like this.

212:2x 2x 53

416:2x 2x 2x 2x 2x 13

476:2x 2x 7x 17

990:2x 3x 3x 5x 11

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 2 = 16

Therefore, the value for common factors is 16.

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 = 41559598080/(2x16)

LCM = 41559598080/32

LCM = 1298737440

Thus, we can understand that the LCM of 212,416,476,990 is 1298737440.

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

• LCM of 216, 270, 688, 209
• LCM of 911, 134, 623, 889
• LCM of 417, 710, 286, 791
• LCM of 216, 716, 158, 997
• LCM of 463, 347, 809, 895

1. What is the LCM of 212, 416, 476, 990?

Answer: LCM of 212, 416, 476, 990 is 1298737440.

2. How to calculate the LCM of 212, 416, 476, 990?

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 212, 416, 476, 990.

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}.