Given numbers are 135,505,624,250,518

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

The LCM of 135,505,624,250,518 is 18363618000.

Find LCM of 135,505,624,250,518 with Prime Factorization

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

2 x 3 x 5 x 9 x 101 x 104 x 25 x 259 = 18363618000

Therefore, the lowest common multiple of 135,505,624,250,518 is 18363618000.

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.

135 x 505 x 624 x 250 x 518 = 5509085400000

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.

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

505 : 1, 5, 101, 505

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

250 : 1, 2, 5, 10, 25, 50, 125, 250

518 : 1, 2, 7, 14, 37, 74, 259, 518

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,505,624,250,518, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

505:5x 101

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

250:2x 5x 5x 5

518:2x 7x 37

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 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 5509085400000/(1x300)

LCM = 5509085400000/300

LCM = 18363618000

Thus, we can understand that the LCM of 135,505,624,250,518 is 18363618000.

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

• LCM of 231, 959, 664, 945, 374
• LCM of 414, 174, 887, 742, 542
• LCM of 820, 971, 831, 316, 570
• LCM of 446, 882, 190, 247, 812
• LCM of 697, 105, 300, 439, 788

1. What is the LCM of 135, 505, 624, 250, 518?

Answer: LCM of 135, 505, 624, 250, 518 is 18363618000.

2. How to calculate the LCM of 135, 505, 624, 250, 518?

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 135, 505, 624, 250, 518.

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}.