Given numbers are 972,586,959,398,409

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

The LCM of 972,586,959,398,409 is 22229458155324.

Find LCM of 972,586,959,398,409 with Prime Factorization

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

2 x 486 x 293 x 959 x 199 x 409 = 22229458155324

Therefore, the lowest common multiple of 972,586,959,398,409 is 22229458155324.

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.

972 x 586 x 959 x 398 x 409 = 88917832621296

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.

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

586 : 1, 2, 293, 586

959 : 1, 7, 137, 959

398 : 1, 2, 199, 398

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,586,959,398,409, is 1.

Now, the common factors can be found like this.

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

586:2x 293

959:7x 137

398:2x 199

409:409

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 88917832621296/(1x4)

LCM = 88917832621296/4

LCM = 22229458155324

Thus, we can understand that the LCM of 972,586,959,398,409 is 22229458155324.

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

• LCM of 671, 687, 286, 994, 564
• LCM of 900, 285, 667, 167, 629
• LCM of 121, 843, 471, 820, 676
• LCM of 606, 655, 676, 867, 378
• LCM of 223, 726, 167, 241, 712

1. What is the LCM of 972, 586, 959, 398, 409?

Answer: LCM of 972, 586, 959, 398, 409 is 22229458155324.

2. How to calculate the LCM of 972, 586, 959, 398, 409?

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 972, 586, 959, 398, 409.

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}.