Given numbers are 414,207,437,460

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

The LCM of 414,207,437,460 is 78660.

Find LCM of 414,207,437,460 with Prime Factorization

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

2 x 3 x 3 x 23 x 1 x 1 x 19 x 10 = 78660

Therefore, the lowest common multiple of 414,207,437,460 is 78660.

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 207 x 437 x 460 = 17227011960

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

207 : 1, 3, 9, 23, 69, 207

437 : 1, 19, 23, 437

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

23 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,207,437,460, is 23.

Now, the common factors can be found like this.

414:2x 3x 3x 23

207:3x 3x 23

437:19x 23

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 3x 3x 23x 23 = 9522

Therefore, the value for common factors is 9522.

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 = 17227011960/(23x9522)

LCM = 17227011960/219006

LCM = 78660

Thus, we can understand that the LCM of 414,207,437,460 is 78660.

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

• LCM of 125, 490, 574, 591
• LCM of 858, 728, 454, 467
• LCM of 700, 770, 388, 666
• LCM of 391, 140, 934, 992
• LCM of 328, 518, 765, 141

1. What is the LCM of 414, 207, 437, 460?

Answer: LCM of 414, 207, 437, 460 is 78660.

2. How to calculate the LCM of 414, 207, 437, 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 414, 207, 437, 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}.