Given numbers are 504,524,321,241,996

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

The LCM of 504,524,321,241,996 is 141312553704.

Find LCM of 504,524,321,241,996 with Prime Factorization

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

2 x 2 x 3 x 42 x 131 x 107 x 241 x 83 = 141312553704

Therefore, the lowest common multiple of 504,524,321,241,996 is 141312553704.

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.

504 x 524 x 321 x 241 x 996 = 20349007733376

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.

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

524 : 1, 2, 4, 131, 262, 524

321 : 1, 3, 107, 321

241 : 1, 241

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,524,321,241,996, is 1.

Now, the common factors can be found like this.

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

524:2x 2x 131

321:3x 107

241:241

996:2x 2x 3x 83

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 3 = 144

Therefore, the value for common factors is 144.

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 = 20349007733376/(1x144)

LCM = 20349007733376/144

LCM = 141312553704

Thus, we can understand that the LCM of 504,524,321,241,996 is 141312553704.

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

• LCM of 624, 635, 786, 586, 599
• LCM of 184, 340, 453, 383, 568
• LCM of 688, 287, 561, 960, 971
• LCM of 201, 467, 347, 173, 657
• LCM of 380, 459, 543, 525, 217

1. What is the LCM of 504, 524, 321, 241, 996?

Answer: LCM of 504, 524, 321, 241, 996 is 141312553704.

2. How to calculate the LCM of 504, 524, 321, 241, 996?

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 504, 524, 321, 241, 996.

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}.