Given numbers are 495,589,646

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

The LCM of 495,589,646 is 9912870.

Find LCM of 495,589,646 with Prime Factorization

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

19 x 495 x 31 x 34 = 9912870

Therefore, the lowest common multiple of 495,589,646 is 9912870.

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.

495 x 589 x 646 = 188344530

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.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

589 : 1, 19, 31, 589

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,589,646, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

589:19x 31

646:2x 17x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

19 = 19

Therefore, the value for common factors is 19.

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 = 188344530/(1x19)

LCM = 188344530/19

LCM = 9912870

Thus, we can understand that the LCM of 495,589,646 is 9912870.

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

• LCM of 727, 667, 687
• LCM of 570, 641, 803
• LCM of 939, 231, 726
• LCM of 372, 444, 514
• LCM of 108, 750, 197

1. What is the LCM of 495, 589, 646?

Answer: LCM of 495, 589, 646 is 9912870.

2. How to calculate the LCM of 495, 589, 646?

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 495, 589, 646.

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}.