Given numbers are 690,642,830,663,966

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

The LCM of 690,642,830,663,966 is 9479845830.

Find LCM of 690,642,830,663,966 with Prime Factorization

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

2 x 3 x 5 x 23 x 1 x 107 x 83 x 221 x 7 = 9479845830

Therefore, the lowest common multiple of 690,642,830,663,966 is 9479845830.

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.

690 x 642 x 830 x 663 x 966 = 235479370417200

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.

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

830 : 1, 2, 5, 10, 83, 166, 415, 830

663 : 1, 3, 13, 17, 39, 51, 221, 663

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 690,642,830,663,966, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

642:2x 3x 107

830:2x 5x 83

663:3x 13x 17

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 3x 3x 5x 23 = 24840

Therefore, the value for common factors is 24840.

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 = 235479370417200/(1x24840)

LCM = 235479370417200/24840

LCM = 9479845830

Thus, we can understand that the LCM of 690,642,830,663,966 is 9479845830.

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

• LCM of 488, 690, 132, 699, 206
• LCM of 295, 872, 140, 166, 667
• LCM of 472, 878, 991, 839, 378
• LCM of 262, 219, 878, 282, 740
• LCM of 856, 578, 544, 304, 401

1. What is the LCM of 690, 642, 830, 663, 966?

Answer: LCM of 690, 642, 830, 663, 966 is 9479845830.

2. How to calculate the LCM of 690, 642, 830, 663, 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 690, 642, 830, 663, 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}.