Given numbers are 505,185,169,175

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

The LCM of 505,185,169,175 is 110521775.

Find LCM of 505,185,169,175 with Prime Factorization

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

5 x 101 x 37 x 169 x 35 = 110521775

Therefore, the lowest common multiple of 505,185,169,175 is 110521775.

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.

505 x 185 x 169 x 175 = 2763044375

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.

505 : 1, 5, 101, 505

185 : 1, 5, 37, 185

169 : 1, 13, 169

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,185,169,175, is 1.

Now, the common factors can be found like this.

505:5x 101

185:5x 37

169:13x 13

175:5x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 2763044375/(1x25)

LCM = 2763044375/25

LCM = 110521775

Thus, we can understand that the LCM of 505,185,169,175 is 110521775.

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

• LCM of 569, 562, 984, 459
• LCM of 176, 649, 189, 843
• LCM of 424, 787, 160, 879
• LCM of 322, 311, 771, 755
• LCM of 464, 346, 231, 784

1. What is the LCM of 505, 185, 169, 175?

Answer: LCM of 505, 185, 169, 175 is 110521775.

2. How to calculate the LCM of 505, 185, 169, 175?

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 505, 185, 169, 175.

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}.