Given numbers are 481,182,546,504,489

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

The LCM of 481,182,546,504,489 is 39515112.

Find LCM of 481,182,546,504,489 with Prime Factorization

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

2 x 3 x 7 x 13 x 37 x 1 x 1 x 12 x 163 = 39515112

Therefore, the lowest common multiple of 481,182,546,504,489 is 39515112.

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.

481 x 182 x 546 x 504 x 489 = 11780087128992

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.

481 : 1, 13, 37, 481

182 : 1, 2, 7, 13, 14, 26, 91, 182

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,182,546,504,489, is 1.

Now, the common factors can be found like this.

481:13x 37

182:2x 7x 13

546:2x 3x 7x 13

504:2x 2x 2x 3x 3x 7

489:3x 163

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 7x 7x 13x 13 = 298116

Therefore, the value for common factors is 298116.

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 = 11780087128992/(1x298116)

LCM = 11780087128992/298116

LCM = 39515112

Thus, we can understand that the LCM of 481,182,546,504,489 is 39515112.

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

• LCM of 730, 185, 552, 716, 203
• LCM of 162, 807, 392, 110, 794
• LCM of 620, 323, 932, 569, 303
• LCM of 391, 231, 451, 748, 375
• LCM of 785, 829, 742, 435, 385

1. What is the LCM of 481, 182, 546, 504, 489?

Answer: LCM of 481, 182, 546, 504, 489 is 39515112.

2. How to calculate the LCM of 481, 182, 546, 504, 489?

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 481, 182, 546, 504, 489.

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}.