Given numbers are 504,804,112,243,572

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

The LCM of 504,804,112,243,572 is 260756496.

Find LCM of 504,804,112,243,572 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 7 x 1 x 67 x 2 x 27 x 143 = 260756496

Therefore, the lowest common multiple of 504,804,112,243,572 is 260756496.

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 804 x 112 x 243 x 572 = 6308221151232

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

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

243 : 1, 3, 9, 27, 81, 243

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,804,112,243,572, is 1.

Now, the common factors can be found like this.

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

804:2x 2x 3x 67

112:2x 2x 2x 2x 7

243:3x 3x 3x 3x 3

572:2x 2x 11x 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 2x 2x 2x 3x 3x 3x 7 = 24192

Therefore, the value for common factors is 24192.

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 = 6308221151232/(1x24192)

LCM = 6308221151232/24192

LCM = 260756496

Thus, we can understand that the LCM of 504,804,112,243,572 is 260756496.

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

• LCM of 587, 686, 132, 142, 317
• LCM of 405, 230, 370, 327, 934
• LCM of 269, 470, 386, 114, 900
• LCM of 254, 230, 880, 840, 452
• LCM of 289, 656, 834, 411, 794

1. What is the LCM of 504, 804, 112, 243, 572?

Answer: LCM of 504, 804, 112, 243, 572 is 260756496.

2. How to calculate the LCM of 504, 804, 112, 243, 572?

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, 804, 112, 243, 572.

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}.