Given numbers are 814,652,612,689

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

The LCM of 814,652,612,689 is 27973876788.

Find LCM of 814,652,612,689 with Prime Factorization

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

2 x 2 x 407 x 163 x 153 x 689 = 27973876788

Therefore, the lowest common multiple of 814,652,612,689 is 27973876788.

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.

814 x 652 x 612 x 689 = 223791014304

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

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

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,652,612,689, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

652:2x 2x 163

612:2x 2x 3x 3x 17

689:13x 53

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 = 223791014304/(1x8)

LCM = 223791014304/8

LCM = 27973876788

Thus, we can understand that the LCM of 814,652,612,689 is 27973876788.

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

• LCM of 869, 680, 322, 844
• LCM of 726, 715, 510, 716
• LCM of 685, 846, 581, 556
• LCM of 327, 556, 502, 464
• LCM of 438, 238, 300, 301

1. What is the LCM of 814, 652, 612, 689?

Answer: LCM of 814, 652, 612, 689 is 27973876788.

2. How to calculate the LCM of 814, 652, 612, 689?

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 814, 652, 612, 689.

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}.