Given numbers are 283,548,432,772,173

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

The LCM of 283,548,432,772,173 is 559234765008.

Find LCM of 283,548,432,772,173 with Prime Factorization

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

2 x 2 x 283 x 137 x 108 x 193 x 173 = 559234765008

Therefore, the lowest common multiple of 283,548,432,772,173 is 559234765008.

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.

283 x 548 x 432 x 772 x 173 = 8947756240128

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.

283 : 1, 283

548 : 1, 2, 4, 137, 274, 548

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

772 : 1, 2, 4, 193, 386, 772

173 : 1, 173

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,548,432,772,173, is 1.

Now, the common factors can be found like this.

283:283

548:2x 2x 137

432:2x 2x 2x 2x 3x 3x 3

772:2x 2x 193

173:173

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 2 = 16

Therefore, the value for common factors is 16.

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 = 8947756240128/(1x16)

LCM = 8947756240128/16

LCM = 559234765008

Thus, we can understand that the LCM of 283,548,432,772,173 is 559234765008.

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

• LCM of 685, 146, 178, 719, 590
• LCM of 134, 731, 849, 399, 787
• LCM of 902, 945, 935, 478, 913
• LCM of 232, 284, 581, 721, 512
• LCM of 315, 709, 993, 661, 450

1. What is the LCM of 283, 548, 432, 772, 173?

Answer: LCM of 283, 548, 432, 772, 173 is 559234765008.

2. How to calculate the LCM of 283, 548, 432, 772, 173?

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 283, 548, 432, 772, 173.

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}.