Given numbers are 135,263,705,520,938

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

The LCM of 135,263,705,520,938 is 81394218360.

Find LCM of 135,263,705,520,938 with Prime Factorization

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

2 x 3 x 5 x 9 x 263 x 47 x 52 x 469 = 81394218360

Therefore, the lowest common multiple of 135,263,705,520,938 is 81394218360.

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 263 x 705 x 520 x 938 = 12209132754000

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

263 : 1, 263

705 : 1, 3, 5, 15, 47, 141, 235, 705

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

938 : 1, 2, 7, 14, 67, 134, 469, 938

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,263,705,520,938, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

263:263

705:3x 5x 47

520:2x 2x 2x 5x 13

938:2x 7x 67

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 5x 5 = 150

Therefore, the value for common factors is 150.

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 = 12209132754000/(1x150)

LCM = 12209132754000/150

LCM = 81394218360

Thus, we can understand that the LCM of 135,263,705,520,938 is 81394218360.

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

• LCM of 961, 139, 954, 200, 481
• LCM of 712, 983, 755, 352, 673
• LCM of 533, 633, 922, 600, 329
• LCM of 213, 798, 150, 930, 673
• LCM of 143, 566, 677, 973, 339

1. What is the LCM of 135, 263, 705, 520, 938?

Answer: LCM of 135, 263, 705, 520, 938 is 81394218360.

2. How to calculate the LCM of 135, 263, 705, 520, 938?

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, 263, 705, 520, 938.

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}.