Given numbers are 753,546,903,270,504

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

The LCM of 753,546,903,270,504 is 1060736040.

Find LCM of 753,546,903,270,504 with Prime Factorization

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

2 x 3 x 3 x 7 x 251 x 13 x 43 x 15 x 4 = 1060736040

Therefore, the lowest common multiple of 753,546,903,270,504 is 1060736040.

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.

753 x 546 x 903 x 270 x 504 = 50520736113120

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.

753 : 1, 3, 251, 753

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

903 : 1, 3, 7, 21, 43, 129, 301, 903

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,546,903,270,504, is 3.

Now, the common factors can be found like this.

753:3x 251

546:2x 3x 7x 13

903:3x 7x 43

270:2x 3x 3x 3x 5

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

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 3x 3x 7x 7 = 15876

Therefore, the value for common factors is 15876.

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 = 50520736113120/(3x15876)

LCM = 50520736113120/47628

LCM = 1060736040

Thus, we can understand that the LCM of 753,546,903,270,504 is 1060736040.

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

• LCM of 434, 873, 508, 100, 714
• LCM of 169, 365, 613, 376, 197
• LCM of 204, 106, 369, 749, 121
• LCM of 457, 345, 615, 297, 318
• LCM of 744, 811, 794, 592, 607

1. What is the LCM of 753, 546, 903, 270, 504?

Answer: LCM of 753, 546, 903, 270, 504 is 1060736040.

2. How to calculate the LCM of 753, 546, 903, 270, 504?

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 753, 546, 903, 270, 504.

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}.