Given numbers are 489,814,248,172

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

The LCM of 489,814,248,172 is 2122381272.

Find LCM of 489,814,248,172 with Prime Factorization

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

2 x 2 x 489 x 407 x 62 x 43 = 2122381272

Therefore, the lowest common multiple of 489,814,248,172 is 2122381272.

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.

489 x 814 x 248 x 172 = 16979050176

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.

489 : 1, 3, 163, 489

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

248 : 1, 2, 4, 8, 31, 62, 124, 248

172 : 1, 2, 4, 43, 86, 172

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,814,248,172, is 1.

Now, the common factors can be found like this.

489:3x 163

814:2x 11x 37

248:2x 2x 2x 31

172:2x 2x 43

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 2 = 8

Therefore, the value for common factors is 8.

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 = 16979050176/(1x8)

LCM = 16979050176/8

LCM = 2122381272

Thus, we can understand that the LCM of 489,814,248,172 is 2122381272.

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

• LCM of 789, 979, 570, 695
• LCM of 532, 259, 197, 619
• LCM of 452, 674, 542, 161
• LCM of 293, 561, 131, 465
• LCM of 619, 614, 811, 324

1. What is the LCM of 489, 814, 248, 172?

Answer: LCM of 489, 814, 248, 172 is 2122381272.

2. How to calculate the LCM of 489, 814, 248, 172?

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 489, 814, 248, 172.

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}.