Given numbers are 489,156,174,851,438

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

The LCM of 489,156,174,851,438 is 45810245676.

Find LCM of 489,156,174,851,438 with Prime Factorization

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

2 x 3 x 163 x 26 x 29 x 851 x 73 = 45810245676

Therefore, the lowest common multiple of 489,156,174,851,438 is 45810245676.

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 156 x 174 x 851 x 438 = 4947506533008

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

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

174 : 1, 2, 3, 6, 29, 58, 87, 174

851 : 1, 23, 37, 851

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,156,174,851,438, is 1.

Now, the common factors can be found like this.

489:3x 163

156:2x 2x 3x 13

174:2x 3x 29

851:23x 37

438:2x 3x 73

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 4947506533008/(1x108)

LCM = 4947506533008/108

LCM = 45810245676

Thus, we can understand that the LCM of 489,156,174,851,438 is 45810245676.

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

• LCM of 772, 813, 773, 567, 253
• LCM of 692, 830, 398, 597, 928
• LCM of 428, 439, 757, 557, 483
• LCM of 684, 840, 458, 652, 401
• LCM of 543, 226, 324, 798, 359

1. What is the LCM of 489, 156, 174, 851, 438?

Answer: LCM of 489, 156, 174, 851, 438 is 45810245676.

2. How to calculate the LCM of 489, 156, 174, 851, 438?

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, 156, 174, 851, 438.

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}.