Given numbers are 688,420,529,412

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

The LCM of 688,420,529,412 is 3936140880.

Find LCM of 688,420,529,412 with Prime Factorization

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

2 x 2 x 172 x 105 x 529 x 103 = 3936140880

Therefore, the lowest common multiple of 688,420,529,412 is 3936140880.

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.

688 x 420 x 529 x 412 = 62978254080

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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

529 : 1, 23, 529

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,420,529,412, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

420:2x 2x 3x 5x 7

529:23x 23

412:2x 2x 103

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 2 = 16

Therefore, the value for common factors is 16.

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 = 62978254080/(1x16)

LCM = 62978254080/16

LCM = 3936140880

Thus, we can understand that the LCM of 688,420,529,412 is 3936140880.

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

• LCM of 557, 904, 765, 991
• LCM of 789, 374, 651, 563
• LCM of 619, 942, 173, 923
• LCM of 909, 441, 449, 866
• LCM of 833, 792, 495, 625

1. What is the LCM of 688, 420, 529, 412?

Answer: LCM of 688, 420, 529, 412 is 3936140880.

2. How to calculate the LCM of 688, 420, 529, 412?

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 688, 420, 529, 412.

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}.