Given numbers are 852,390,546,488,169

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

The LCM of 852,390,546,488,169 is 614828760.

Find LCM of 852,390,546,488,169 with Prime Factorization

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

2 x 2 x 3 x 13 x 71 x 5 x 7 x 122 x 13 = 614828760

Therefore, the lowest common multiple of 852,390,546,488,169 is 614828760.

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.

852 x 390 x 546 x 488 x 169 = 14962472703360

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.

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

488 : 1, 2, 4, 8, 61, 122, 244, 488

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,390,546,488,169, is 1.

Now, the common factors can be found like this.

852:2x 2x 3x 71

390:2x 3x 5x 13

546:2x 3x 7x 13

488:2x 2x 2x 61

169:13x 13

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 2x 3x 3x 13x 13 = 24336

Therefore, the value for common factors is 24336.

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 = 14962472703360/(1x24336)

LCM = 14962472703360/24336

LCM = 614828760

Thus, we can understand that the LCM of 852,390,546,488,169 is 614828760.

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

• LCM of 308, 619, 910, 534, 536
• LCM of 882, 713, 542, 102, 994
• LCM of 372, 352, 330, 901, 789
• LCM of 156, 546, 337, 737, 848
• LCM of 469, 484, 584, 719, 472

1. What is the LCM of 852, 390, 546, 488, 169?

Answer: LCM of 852, 390, 546, 488, 169 is 614828760.

2. How to calculate the LCM of 852, 390, 546, 488, 169?

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 852, 390, 546, 488, 169.

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}.