Given numbers are 397,503,690,828,966

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

The LCM of 397,503,690,828,966 is 5787045180.

Find LCM of 397,503,690,828,966 with Prime Factorization

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

2 x 3 x 23 x 397 x 503 x 5 x 6 x 7 = 5787045180

Therefore, the lowest common multiple of 397,503,690,828,966 is 5787045180.

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.

397 x 503 x 690 x 828 x 966 = 110208488407920

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.

397 : 1, 397

503 : 1, 503

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 397,503,690,828,966, is 1.

Now, the common factors can be found like this.

397:397

503:503

690:2x 3x 5x 23

828:2x 2x 3x 3x 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 3x 3x 23x 23 = 19044

Therefore, the value for common factors is 19044.

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 = 110208488407920/(1x19044)

LCM = 110208488407920/19044

LCM = 5787045180

Thus, we can understand that the LCM of 397,503,690,828,966 is 5787045180.

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

• LCM of 618, 707, 281, 697, 194
• LCM of 173, 350, 396, 733, 338
• LCM of 728, 725, 718, 520, 439
• LCM of 867, 986, 905, 615, 689
• LCM of 397, 916, 973, 424, 948

1. What is the LCM of 397, 503, 690, 828, 966?

Answer: LCM of 397, 503, 690, 828, 966 is 5787045180.

2. How to calculate the LCM of 397, 503, 690, 828, 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 397, 503, 690, 828, 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}.