Given numbers are 424,456,194,309,582

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

The LCM of 424,456,194,309,582 is 241462488.

Find LCM of 424,456,194,309,582 with Prime Factorization

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

2 x 2 x 2 x 3 x 97 x 53 x 19 x 1 x 103 x 1 = 241462488

Therefore, the lowest common multiple of 424,456,194,309,582 is 241462488.

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.

424 x 456 x 194 x 309 x 582 = 6745496064768

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

194 : 1, 2, 97, 194

309 : 1, 3, 103, 309

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 424,456,194,309,582, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

456:2x 2x 2x 3x 19

194:2x 97

309:3x 103

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 3x 3x 97 = 27936

Therefore, the value for common factors is 27936.

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 = 6745496064768/(1x27936)

LCM = 6745496064768/27936

LCM = 241462488

Thus, we can understand that the LCM of 424,456,194,309,582 is 241462488.

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

• LCM of 454, 156, 922, 221, 141
• LCM of 693, 644, 686, 492, 694
• LCM of 569, 567, 696, 485, 270
• LCM of 307, 656, 731, 507, 167
• LCM of 175, 141, 745, 601, 989

1. What is the LCM of 424, 456, 194, 309, 582?

Answer: LCM of 424, 456, 194, 309, 582 is 241462488.

2. How to calculate the LCM of 424, 456, 194, 309, 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 424, 456, 194, 309, 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}.