Given numbers are 305,852,284,473,177

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

The LCM of 305,852,284,473,177 is 7251913020.

Find LCM of 305,852,284,473,177 with Prime Factorization

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

2 x 2 x 3 x 71 x 305 x 1 x 1 x 473 x 59 = 7251913020

Therefore, the lowest common multiple of 305,852,284,473,177 is 7251913020.

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.

305 x 852 x 284 x 473 x 177 = 6178629893040

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.

305 : 1, 5, 61, 305

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

284 : 1, 2, 4, 71, 142, 284

473 : 1, 11, 43, 473

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,852,284,473,177, is 1.

Now, the common factors can be found like this.

305:5x 61

852:2x 2x 3x 71

284:2x 2x 71

473:11x 43

177:3x 59

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 3x 71 = 852

Therefore, the value for common factors is 852.

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 = 6178629893040/(1x852)

LCM = 6178629893040/852

LCM = 7251913020

Thus, we can understand that the LCM of 305,852,284,473,177 is 7251913020.

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

• LCM of 432, 299, 773, 132, 577
• LCM of 755, 974, 332, 599, 139
• LCM of 363, 414, 878, 811, 473
• LCM of 342, 771, 297, 540, 796
• LCM of 578, 386, 764, 220, 313

1. What is the LCM of 305, 852, 284, 473, 177?

Answer: LCM of 305, 852, 284, 473, 177 is 7251913020.

2. How to calculate the LCM of 305, 852, 284, 473, 177?

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 305, 852, 284, 473, 177.

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}.