Given numbers are 506,299,704,125,945

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

The LCM of 506,299,704,125,945 is 4972968000.

Find LCM of 506,299,704,125,945 with Prime Factorization

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

2 x 5 x 11 x 23 x 1 x 13 x 32 x 25 x 189 = 4972968000

Therefore, the lowest common multiple of 506,299,704,125,945 is 4972968000.

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.

506 x 299 x 704 x 125 x 945 = 12581609040000

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

299 : 1, 13, 23, 299

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

125 : 1, 5, 25, 125

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,299,704,125,945, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

299:13x 23

704:2x 2x 2x 2x 2x 2x 11

125:5x 5x 5

945:3x 3x 3x 5x 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 5x 11x 23 = 2530

Therefore, the value for common factors is 2530.

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 = 12581609040000/(1x2530)

LCM = 12581609040000/2530

LCM = 4972968000

Thus, we can understand that the LCM of 506,299,704,125,945 is 4972968000.

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

• LCM of 399, 556, 656, 907, 602
• LCM of 328, 300, 857, 100, 608
• LCM of 497, 979, 981, 110, 856
• LCM of 529, 174, 197, 617, 689
• LCM of 922, 532, 164, 555, 454

1. What is the LCM of 506, 299, 704, 125, 945?

Answer: LCM of 506, 299, 704, 125, 945 is 4972968000.

2. How to calculate the LCM of 506, 299, 704, 125, 945?

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 506, 299, 704, 125, 945.

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}.