Given numbers are 504,292,356,372,825

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

The LCM of 504,292,356,372,825 is 27915010200.

Find LCM of 504,292,356,372,825 with Prime Factorization

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

2 x 2 x 3 x 42 x 73 x 89 x 31 x 275 = 27915010200

Therefore, the lowest common multiple of 504,292,356,372,825 is 27915010200.

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 292 x 356 x 372 x 825 = 16079045875200

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

292 : 1, 2, 4, 73, 146, 292

356 : 1, 2, 4, 89, 178, 356

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,292,356,372,825, is 1.

Now, the common factors can be found like this.

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

292:2x 2x 73

356:2x 2x 89

372:2x 2x 3x 31

825:3x 5x 5x 11

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 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 16079045875200/(1x576)

LCM = 16079045875200/576

LCM = 27915010200

Thus, we can understand that the LCM of 504,292,356,372,825 is 27915010200.

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

• LCM of 183, 216, 259, 419, 318
• LCM of 383, 960, 901, 414, 614
• LCM of 782, 314, 813, 176, 175
• LCM of 149, 138, 944, 156, 261
• LCM of 534, 839, 653, 300, 461

1. What is the LCM of 504, 292, 356, 372, 825?

Answer: LCM of 504, 292, 356, 372, 825 is 27915010200.

2. How to calculate the LCM of 504, 292, 356, 372, 825?

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, 292, 356, 372, 825.

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}.