Given numbers are 693,135,624,990,575

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

The LCM of 693,135,624,990,575 is 248648400.

Find LCM of 693,135,624,990,575 with Prime Factorization

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

2 x 3 x 3 x 5 x 11 x 7 x 3 x 104 x 1 x 115 = 248648400

Therefore, the lowest common multiple of 693,135,624,990,575 is 248648400.

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.

693 x 135 x 624 x 990 x 575 = 33231858660000

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.

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

575 : 1, 5, 23, 25, 115, 575

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,135,624,990,575, is 1.

Now, the common factors can be found like this.

693:3x 3x 7x 11

135:3x 3x 3x 5

624:2x 2x 2x 2x 3x 13

990:2x 3x 3x 5x 11

575:5x 5x 23

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

2x 3x 3x 3x 3x 3x 5x 5x 11 = 133650

Therefore, the value for common factors is 133650.

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 = 33231858660000/(1x133650)

LCM = 33231858660000/133650

LCM = 248648400

Thus, we can understand that the LCM of 693,135,624,990,575 is 248648400.

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

• LCM of 864, 988, 175, 255, 845
• LCM of 358, 181, 996, 665, 309
• LCM of 299, 739, 468, 345, 189
• LCM of 728, 735, 670, 934, 600
• LCM of 373, 166, 102, 837, 207

1. What is the LCM of 693, 135, 624, 990, 575?

Answer: LCM of 693, 135, 624, 990, 575 is 248648400.

2. How to calculate the LCM of 693, 135, 624, 990, 575?

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 693, 135, 624, 990, 575.

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}.