Given numbers are 455,390,520,586,398

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

The LCM of 455,390,520,586,398 is 636712440.

Find LCM of 455,390,520,586,398 with Prime Factorization

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

2 x 5 x 13 x 7 x 3 x 4 x 293 x 199 = 636712440

Therefore, the lowest common multiple of 455,390,520,586,398 is 636712440.

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.

455 x 390 x 520 x 586 x 398 = 21520880472000

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.

455 : 1, 5, 7, 13, 35, 65, 91, 455

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

586 : 1, 2, 293, 586

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,390,520,586,398, is 1.

Now, the common factors can be found like this.

455:5x 7x 13

390:2x 3x 5x 13

520:2x 2x 2x 5x 13

586:2x 293

398:2x 199

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 5x 5x 13x 13 = 33800

Therefore, the value for common factors is 33800.

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 = 21520880472000/(1x33800)

LCM = 21520880472000/33800

LCM = 636712440

Thus, we can understand that the LCM of 455,390,520,586,398 is 636712440.

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

• LCM of 519, 786, 519, 314, 685
• LCM of 969, 357, 333, 149, 605
• LCM of 452, 541, 456, 324, 910
• LCM of 929, 381, 740, 123, 728
• LCM of 694, 974, 862, 237, 114

1. What is the LCM of 455, 390, 520, 586, 398?

Answer: LCM of 455, 390, 520, 586, 398 is 636712440.

2. How to calculate the LCM of 455, 390, 520, 586, 398?

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 455, 390, 520, 586, 398.

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}.