Given numbers are 138,720,423,822,532

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

The LCM of 138,720,423,822,532 is 14181768720.

Find LCM of 138,720,423,822,532 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 20 x 47 x 137 x 133 = 14181768720

Therefore, the lowest common multiple of 138,720,423,822,532 is 14181768720.

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.

138 x 720 x 423 x 822 x 532 = 18379572261120

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

423 : 1, 3, 9, 47, 141, 423

822 : 1, 2, 3, 6, 137, 274, 411, 822

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,720,423,822,532, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

720:2x 2x 2x 2x 3x 3x 5

423:3x 3x 47

822:2x 3x 137

532:2x 2x 7x 19

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 2x 2x 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 18379572261120/(1x1296)

LCM = 18379572261120/1296

LCM = 14181768720

Thus, we can understand that the LCM of 138,720,423,822,532 is 14181768720.

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

• LCM of 612, 747, 756, 311, 538
• LCM of 429, 784, 895, 717, 639
• LCM of 301, 845, 146, 672, 390
• LCM of 726, 852, 623, 218, 473
• LCM of 734, 682, 611, 357, 477

1. What is the LCM of 138, 720, 423, 822, 532?

Answer: LCM of 138, 720, 423, 822, 532 is 14181768720.

2. How to calculate the LCM of 138, 720, 423, 822, 532?

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 138, 720, 423, 822, 532.

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}.