Given numbers are 217,620,128,913,449

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

The LCM of 217,620,128,913,449 is 56932050560.

Find LCM of 217,620,128,913,449 with Prime Factorization

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

2 x 2 x 31 x 7 x 5 x 32 x 913 x 449 = 56932050560

Therefore, the lowest common multiple of 217,620,128,913,449 is 56932050560.

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.

217 x 620 x 128 x 913 x 449 = 7059574269440

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.

217 : 1, 7, 31, 217

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

128 : 1, 2, 4, 8, 16, 32, 64, 128

913 : 1, 11, 83, 913

449 : 1, 449

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,620,128,913,449, is 1.

Now, the common factors can be found like this.

217:7x 31

620:2x 2x 5x 31

128:2x 2x 2x 2x 2x 2x 2

913:11x 83

449:449

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 31 = 124

Therefore, the value for common factors is 124.

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 = 7059574269440/(1x124)

LCM = 7059574269440/124

LCM = 56932050560

Thus, we can understand that the LCM of 217,620,128,913,449 is 56932050560.

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

• LCM of 188, 321, 629, 597, 522
• LCM of 158, 540, 953, 615, 997
• LCM of 657, 347, 823, 537, 344
• LCM of 879, 741, 359, 170, 186
• LCM of 632, 597, 144, 694, 703

1. What is the LCM of 217, 620, 128, 913, 449?

Answer: LCM of 217, 620, 128, 913, 449 is 56932050560.

2. How to calculate the LCM of 217, 620, 128, 913, 449?

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 217, 620, 128, 913, 449.

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}.