Given numbers are 491,168,388,552,582

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

The LCM of 491,168,388,552,582 is 184030728.

Find LCM of 491,168,388,552,582 with Prime Factorization

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

2 x 2 x 2 x 3 x 97 x 491 x 7 x 1 x 23 x 1 = 184030728

Therefore, the lowest common multiple of 491,168,388,552,582 is 184030728.

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.

491 x 168 x 388 x 552 x 582 = 10282164834816

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.

491 : 1, 491

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

388 : 1, 2, 4, 97, 194, 388

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,168,388,552,582, is 1.

Now, the common factors can be found like this.

491:491

168:2x 2x 2x 3x 7

388:2x 2x 97

552:2x 2x 2x 3x 23

582:2x 3x 97

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 2x 2x 2x 3x 3x 97 = 55872

Therefore, the value for common factors is 55872.

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 = 10282164834816/(1x55872)

LCM = 10282164834816/55872

LCM = 184030728

Thus, we can understand that the LCM of 491,168,388,552,582 is 184030728.

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

• LCM of 889, 625, 213, 462, 773
• LCM of 473, 887, 142, 415, 659
• LCM of 894, 515, 656, 578, 262
• LCM of 174, 301, 804, 631, 362
• LCM of 661, 606, 481, 723, 183

1. What is the LCM of 491, 168, 388, 552, 582?

Answer: LCM of 491, 168, 388, 552, 582 is 184030728.

2. How to calculate the LCM of 491, 168, 388, 552, 582?

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 491, 168, 388, 552, 582.

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}.