Given numbers are 466,697,414,652,614

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

The LCM of 466,697,414,652,614 is 6728914589148.

Find LCM of 466,697,414,652,614 with Prime Factorization

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

2 x 233 x 697 x 207 x 326 x 307 = 6728914589148

Therefore, the lowest common multiple of 466,697,414,652,614 is 6728914589148.

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.

466 x 697 x 414 x 652 x 614 = 53831316713184

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.

466 : 1, 2, 233, 466

697 : 1, 17, 41, 697

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

652 : 1, 2, 4, 163, 326, 652

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,697,414,652,614, is 1.

Now, the common factors can be found like this.

466:2x 233

697:17x 41

414:2x 3x 3x 23

652:2x 2x 163

614:2x 307

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 2 = 8

Therefore, the value for common factors is 8.

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 = 53831316713184/(1x8)

LCM = 53831316713184/8

LCM = 6728914589148

Thus, we can understand that the LCM of 466,697,414,652,614 is 6728914589148.

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

• LCM of 326, 976, 679, 277, 965
• LCM of 396, 310, 849, 960, 458
• LCM of 916, 875, 584, 418, 916
• LCM of 542, 233, 529, 494, 344
• LCM of 526, 876, 953, 598, 442

1. What is the LCM of 466, 697, 414, 652, 614?

Answer: LCM of 466, 697, 414, 652, 614 is 6728914589148.

2. How to calculate the LCM of 466, 697, 414, 652, 614?

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 466, 697, 414, 652, 614.

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}.