Given numbers are 505,224,449,175

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

The LCM of 505,224,449,175 is 253954400.

Find LCM of 505,224,449,175 with Prime Factorization

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

5 x 7 x 101 x 32 x 449 x 5 = 253954400

Therefore, the lowest common multiple of 505,224,449,175 is 253954400.

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 224 x 449 x 175 = 8888404000

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

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

449 : 1, 449

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 505,224,449,175, is 1.

Now, the common factors can be found like this.

505:5x 101

224:2x 2x 2x 2x 2x 7

449:449

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 7 = 35

Therefore, the value for common factors is 35.

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 = 8888404000/(1x35)

LCM = 8888404000/35

LCM = 253954400

Thus, we can understand that the LCM of 505,224,449,175 is 253954400.

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

• LCM of 262, 968, 146, 836
• LCM of 831, 779, 586, 789
• LCM of 909, 214, 213, 321
• LCM of 630, 734, 533, 914
• LCM of 413, 100, 933, 442

1. What is the LCM of 505, 224, 449, 175?

Answer: LCM of 505, 224, 449, 175 is 253954400.

2. How to calculate the LCM of 505, 224, 449, 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, 224, 449, 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}.