Given numbers are 643,224,396,484,946

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

The LCM of 643,224,396,484,946 is 6744586464.

Find LCM of 643,224,396,484,946 with Prime Factorization

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

2 x 2 x 11 x 643 x 56 x 9 x 11 x 43 = 6744586464

Therefore, the lowest common multiple of 643,224,396,484,946 is 6744586464.

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.

643 x 224 x 396 x 484 x 946 = 26115038788608

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.

643 : 1, 643

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,224,396,484,946, is 1.

Now, the common factors can be found like this.

643:643

224:2x 2x 2x 2x 2x 7

396:2x 2x 3x 3x 11

484:2x 2x 11x 11

946:2x 11x 43

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 11x 11 = 3872

Therefore, the value for common factors is 3872.

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 = 26115038788608/(1x3872)

LCM = 26115038788608/3872

LCM = 6744586464

Thus, we can understand that the LCM of 643,224,396,484,946 is 6744586464.

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

• LCM of 360, 427, 630, 858, 540
• LCM of 284, 265, 508, 439, 741
• LCM of 859, 423, 784, 867, 909
• LCM of 331, 952, 351, 962, 477
• LCM of 651, 612, 470, 151, 878

1. What is the LCM of 643, 224, 396, 484, 946?

Answer: LCM of 643, 224, 396, 484, 946 is 6744586464.

2. How to calculate the LCM of 643, 224, 396, 484, 946?

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 643, 224, 396, 484, 946.

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}.