Given numbers are 414,391,247,920,246

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

The LCM of 414,391,247,920,246 is 1425476520.

Find LCM of 414,391,247,920,246 with Prime Factorization

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

2 x 3 x 23 x 3 x 17 x 247 x 20 x 41 = 1425476520

Therefore, the lowest common multiple of 414,391,247,920,246 is 1425476520.

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.

414 x 391 x 247 x 920 x 246 = 9048924948960

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

391 : 1, 17, 23, 391

247 : 1, 13, 19, 247

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

246 : 1, 2, 3, 6, 41, 82, 123, 246

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,391,247,920,246, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

391:17x 23

247:13x 19

920:2x 2x 2x 5x 23

246:2x 3x 41

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 23x 23 = 6348

Therefore, the value for common factors is 6348.

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 = 9048924948960/(1x6348)

LCM = 9048924948960/6348

LCM = 1425476520

Thus, we can understand that the LCM of 414,391,247,920,246 is 1425476520.

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

• LCM of 498, 214, 893, 473, 967
• LCM of 661, 835, 565, 325, 399
• LCM of 477, 654, 939, 960, 831
• LCM of 635, 314, 861, 111, 911
• LCM of 299, 590, 543, 299, 367

1. What is the LCM of 414, 391, 247, 920, 246?

Answer: LCM of 414, 391, 247, 920, 246 is 1425476520.

2. How to calculate the LCM of 414, 391, 247, 920, 246?

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 414, 391, 247, 920, 246.

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}.