Given numbers are 326,815,586,690,966

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

The LCM of 326,815,586,690,966 is 230675970.

Find LCM of 326,815,586,690,966 with Prime Factorization

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

2 x 3 x 5 x 23 x 163 x 1 x 1 x 293 x 1 x 7 = 230675970

Therefore, the lowest common multiple of 326,815,586,690,966 is 230675970.

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.

326 x 815 x 586 x 690 x 966 = 103776505383600

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.

326 : 1, 2, 163, 326

815 : 1, 5, 163, 815

586 : 1, 2, 293, 586

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,815,586,690,966, is 1.

Now, the common factors can be found like this.

326:2x 163

815:5x 163

586:2x 293

690:2x 3x 5x 23

966:2x 3x 7x 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 3x 5x 23x 163 = 449880

Therefore, the value for common factors is 449880.

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 = 103776505383600/(1x449880)

LCM = 103776505383600/449880

LCM = 230675970

Thus, we can understand that the LCM of 326,815,586,690,966 is 230675970.

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

• LCM of 626, 671, 217, 758, 462
• LCM of 641, 879, 133, 314, 827
• LCM of 724, 879, 938, 908, 385
• LCM of 422, 230, 956, 454, 131
• LCM of 640, 588, 830, 633, 610

1. What is the LCM of 326, 815, 586, 690, 966?

Answer: LCM of 326, 815, 586, 690, 966 is 230675970.

2. How to calculate the LCM of 326, 815, 586, 690, 966?

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 326, 815, 586, 690, 966.

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}.