Given numbers are 414,643,818,426,752

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

The LCM of 414,643,818,426,752 is 2906570194128.

Find LCM of 414,643,818,426,752 with Prime Factorization

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

2 x 3 x 69 x 643 x 409 x 71 x 376 = 2906570194128

Therefore, the lowest common multiple of 414,643,818,426,752 is 2906570194128.

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 643 x 818 x 426 x 752 = 69757684659072

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

643 : 1, 643

818 : 1, 2, 409, 818

426 : 1, 2, 3, 6, 71, 142, 213, 426

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,643,818,426,752, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

643:643

818:2x 409

426:2x 3x 71

752:2x 2x 2x 2x 47

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 3 = 24

Therefore, the value for common factors is 24.

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 = 69757684659072/(1x24)

LCM = 69757684659072/24

LCM = 2906570194128

Thus, we can understand that the LCM of 414,643,818,426,752 is 2906570194128.

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

• LCM of 751, 470, 992, 546, 124
• LCM of 419, 982, 397, 178, 251
• LCM of 865, 287, 120, 536, 333
• LCM of 200, 488, 700, 483, 857
• LCM of 777, 828, 613, 256, 524

1. What is the LCM of 414, 643, 818, 426, 752?

Answer: LCM of 414, 643, 818, 426, 752 is 2906570194128.

2. How to calculate the LCM of 414, 643, 818, 426, 752?

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, 643, 818, 426, 752.

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}.