Given numbers are 576,405,281,177,121

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

The LCM of 576,405,281,177,121 is 51997049280.

Find LCM of 576,405,281,177,121 with Prime Factorization

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

3 x 3 x 64 x 45 x 281 x 59 x 121 = 51997049280

Therefore, the lowest common multiple of 576,405,281,177,121 is 51997049280.

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.

576 x 405 x 281 x 177 x 121 = 1403920330560

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.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

281 : 1, 281

177 : 1, 3, 59, 177

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,405,281,177,121, is 1.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

405:3x 3x 3x 3x 5

281:281

177:3x 59

121:11x 11

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 1403920330560/(1x27)

LCM = 1403920330560/27

LCM = 51997049280

Thus, we can understand that the LCM of 576,405,281,177,121 is 51997049280.

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

• LCM of 509, 150, 308, 305, 268
• LCM of 255, 680, 118, 231, 169
• LCM of 568, 517, 414, 923, 914
• LCM of 901, 736, 532, 851, 811
• LCM of 946, 855, 785, 878, 954

1. What is the LCM of 576, 405, 281, 177, 121?

Answer: LCM of 576, 405, 281, 177, 121 is 51997049280.

2. How to calculate the LCM of 576, 405, 281, 177, 121?

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 576, 405, 281, 177, 121.

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}.