Given numbers are 560,691,507,388,414

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

The LCM of 560,691,507,388,414 is 1313091102960.

Find LCM of 560,691,507,388,414 with Prime Factorization

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

2 x 2 x 3 x 140 x 691 x 169 x 97 x 69 = 1313091102960

Therefore, the lowest common multiple of 560,691,507,388,414 is 1313091102960.

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.

560 x 691 x 507 x 388 x 414 = 31514186471040

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

691 : 1, 691

507 : 1, 3, 13, 39, 169, 507

388 : 1, 2, 4, 97, 194, 388

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,691,507,388,414, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

691:691

507:3x 13x 13

388:2x 2x 97

414:2x 3x 3x 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 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 = 31514186471040/(1x24)

LCM = 31514186471040/24

LCM = 1313091102960

Thus, we can understand that the LCM of 560,691,507,388,414 is 1313091102960.

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

• LCM of 523, 349, 586, 782, 842
• LCM of 369, 183, 144, 401, 519
• LCM of 111, 313, 207, 490, 271
• LCM of 477, 208, 507, 556, 411
• LCM of 431, 328, 185, 140, 258

1. What is the LCM of 560, 691, 507, 388, 414?

Answer: LCM of 560, 691, 507, 388, 414 is 1313091102960.

2. How to calculate the LCM of 560, 691, 507, 388, 414?

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 560, 691, 507, 388, 414.

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}.