Given numbers are 645,274,422,504,582

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

The LCM of 645,274,422,504,582 is 303839164440.

Find LCM of 645,274,422,504,582 with Prime Factorization

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

2 x 3 x 215 x 137 x 211 x 84 x 97 = 303839164440

Therefore, the lowest common multiple of 645,274,422,504,582 is 303839164440.

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.

645 x 274 x 422 x 504 x 582 = 21876419839680

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.

645 : 1, 3, 5, 15, 43, 129, 215, 645

274 : 1, 2, 137, 274

422 : 1, 2, 211, 422

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 645,274,422,504,582, is 1.

Now, the common factors can be found like this.

645:3x 5x 43

274:2x 137

422:2x 211

504:2x 2x 2x 3x 3x 7

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 21876419839680/(1x72)

LCM = 21876419839680/72

LCM = 303839164440

Thus, we can understand that the LCM of 645,274,422,504,582 is 303839164440.

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

• LCM of 494, 186, 164, 593, 506
• LCM of 199, 618, 916, 206, 145
• LCM of 558, 461, 184, 852, 960
• LCM of 712, 176, 875, 382, 573
• LCM of 154, 289, 695, 135, 109

1. What is the LCM of 645, 274, 422, 504, 582?

Answer: LCM of 645, 274, 422, 504, 582 is 303839164440.

2. How to calculate the LCM of 645, 274, 422, 504, 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 645, 274, 422, 504, 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}.