Given numbers are 323,426,962,614,420

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

The LCM of 323,426,962,614,420 is 1422307870620.

Find LCM of 323,426,962,614,420 with Prime Factorization

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

2 x 3 x 323 x 71 x 481 x 307 x 70 = 1422307870620

Therefore, the lowest common multiple of 323,426,962,614,420 is 1422307870620.

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.

323 x 426 x 962 x 614 x 420 = 34135388894880

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.

323 : 1, 17, 19, 323

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

962 : 1, 2, 13, 26, 37, 74, 481, 962

614 : 1, 2, 307, 614

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,426,962,614,420, is 1.

Now, the common factors can be found like this.

323:17x 19

426:2x 3x 71

962:2x 13x 37

614:2x 307

420:2x 2x 3x 5x 7

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 = 34135388894880/(1x24)

LCM = 34135388894880/24

LCM = 1422307870620

Thus, we can understand that the LCM of 323,426,962,614,420 is 1422307870620.

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

• LCM of 788, 707, 372, 725, 915
• LCM of 669, 264, 719, 192, 981
• LCM of 907, 941, 865, 112, 574
• LCM of 329, 458, 232, 901, 597
• LCM of 582, 472, 862, 936, 607

1. What is the LCM of 323, 426, 962, 614, 420?

Answer: LCM of 323, 426, 962, 614, 420 is 1422307870620.

2. How to calculate the LCM of 323, 426, 962, 614, 420?

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 323, 426, 962, 614, 420.

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}.