Given numbers are 690,904,997,553,966

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

The LCM of 690,904,997,553,966 is 171952231080.

Find LCM of 690,904,997,553,966 with Prime Factorization

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

2 x 3 x 7 x 23 x 5 x 452 x 997 x 79 x 1 = 171952231080

Therefore, the lowest common multiple of 690,904,997,553,966 is 171952231080.

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 904 x 997 x 553 x 966 = 332211710446560

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

904 : 1, 2, 4, 8, 113, 226, 452, 904

997 : 1, 997

553 : 1, 7, 79, 553

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 690,904,997,553,966, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

904:2x 2x 2x 113

997:997

553:7x 79

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 7x 23 = 1932

Therefore, the value for common factors is 1932.

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 = 332211710446560/(1x1932)

LCM = 332211710446560/1932

LCM = 171952231080

Thus, we can understand that the LCM of 690,904,997,553,966 is 171952231080.

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

• LCM of 845, 265, 900, 729, 539
• LCM of 288, 738, 939, 605, 415
• LCM of 575, 743, 702, 178, 665
• LCM of 302, 344, 783, 342, 348
• LCM of 349, 234, 204, 997, 109

1. What is the LCM of 690, 904, 997, 553, 966?

Answer: LCM of 690, 904, 997, 553, 966 is 171952231080.

2. How to calculate the LCM of 690, 904, 997, 553, 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, 904, 997, 553, 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}.