Given numbers are 582,344,828,197,492

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

The LCM of 582,344,828,197,492 is 55789260552.

Find LCM of 582,344,828,197,492 with Prime Factorization

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

2 x 2 x 3 x 97 x 86 x 69 x 197 x 41 = 55789260552

Therefore, the lowest common multiple of 582,344,828,197,492 is 55789260552.

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.

582 x 344 x 828 x 197 x 492 = 16067307038976

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.

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

344 : 1, 2, 4, 8, 43, 86, 172, 344

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

197 : 1, 197

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,344,828,197,492, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

344:2x 2x 2x 43

828:2x 2x 3x 3x 23

197:197

492:2x 2x 3x 41

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 16067307038976/(1x288)

LCM = 16067307038976/288

LCM = 55789260552

Thus, we can understand that the LCM of 582,344,828,197,492 is 55789260552.

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

• LCM of 867, 415, 134, 439, 318
• LCM of 625, 307, 910, 243, 940
• LCM of 719, 114, 499, 479, 181
• LCM of 244, 314, 669, 627, 929
• LCM of 264, 311, 123, 272, 702

1. What is the LCM of 582, 344, 828, 197, 492?

Answer: LCM of 582, 344, 828, 197, 492 is 55789260552.

2. How to calculate the LCM of 582, 344, 828, 197, 492?

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 582, 344, 828, 197, 492.

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}.