Given numbers are 258,128,450,177

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

The LCM of 258,128,450,177 is 73065600.

Find LCM of 258,128,450,177 with Prime Factorization

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

2 x 3 x 43 x 64 x 75 x 59 = 73065600

Therefore, the lowest common multiple of 258,128,450,177 is 73065600.

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.

258 x 128 x 450 x 177 = 2630361600

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

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

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,128,450,177, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

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

450:2x 3x 3x 5x 5

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 3 = 36

Therefore, the value for common factors is 36.

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 = 2630361600/(1x36)

LCM = 2630361600/36

LCM = 73065600

Thus, we can understand that the LCM of 258,128,450,177 is 73065600.

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

• LCM of 403, 168, 376, 565
• LCM of 207, 159, 103, 455
• LCM of 354, 878, 110, 503
• LCM of 374, 319, 189, 859
• LCM of 185, 249, 609, 315

1. What is the LCM of 258, 128, 450, 177?

Answer: LCM of 258, 128, 450, 177 is 73065600.

2. How to calculate the LCM of 258, 128, 450, 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 258, 128, 450, 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}.