Given numbers are 875,972,503,596,460

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

The LCM of 875,972,503,596,460 is 1466075740500.

Find LCM of 875,972,503,596,460 with Prime Factorization

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

2 x 2 x 5 x 175 x 243 x 503 x 149 x 23 = 1466075740500

Therefore, the lowest common multiple of 875,972,503,596,460 is 1466075740500.

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.

875 x 972 x 503 x 596 x 460 = 117286059240000

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.

875 : 1, 5, 7, 25, 35, 125, 175, 875

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

503 : 1, 503

596 : 1, 2, 4, 149, 298, 596

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 875,972,503,596,460, is 1.

Now, the common factors can be found like this.

875:5x 5x 5x 7

972:2x 2x 3x 3x 3x 3x 3

503:503

596:2x 2x 149

460:2x 2x 5x 23

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 5 = 80

Therefore, the value for common factors is 80.

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 = 117286059240000/(1x80)

LCM = 117286059240000/80

LCM = 1466075740500

Thus, we can understand that the LCM of 875,972,503,596,460 is 1466075740500.

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

• LCM of 490, 323, 743, 733, 959
• LCM of 367, 797, 720, 321, 938
• LCM of 816, 575, 504, 890, 535
• LCM of 915, 846, 487, 130, 830
• LCM of 440, 154, 869, 276, 530

1. What is the LCM of 875, 972, 503, 596, 460?

Answer: LCM of 875, 972, 503, 596, 460 is 1466075740500.

2. How to calculate the LCM of 875, 972, 503, 596, 460?

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 875, 972, 503, 596, 460.

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}.