Given numbers are 150,762,462,771,432

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

The LCM of 150,762,462,771,432 is 27142592400.

Find LCM of 150,762,462,771,432 with Prime Factorization

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

2 x 3 x 25 x 127 x 77 x 257 x 72 = 27142592400

Therefore, the lowest common multiple of 150,762,462,771,432 is 27142592400.

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.

150 x 762 x 462 x 771 x 432 = 17588399875200

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.

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

762 : 1, 2, 3, 6, 127, 254, 381, 762

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

771 : 1, 3, 257, 771

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,762,462,771,432, is 3.

Now, the common factors can be found like this.

150:2x 3x 5x 5

762:2x 3x 127

462:2x 3x 7x 11

771:3x 257

432:2x 2x 2x 2x 3x 3x 3

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 17588399875200/(3x216)

LCM = 17588399875200/648

LCM = 27142592400

Thus, we can understand that the LCM of 150,762,462,771,432 is 27142592400.

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

• LCM of 794, 664, 835, 852, 921
• LCM of 837, 864, 184, 824, 827
• LCM of 563, 702, 972, 903, 566
• LCM of 454, 867, 427, 670, 899
• LCM of 408, 378, 757, 529, 736

1. What is the LCM of 150, 762, 462, 771, 432?

Answer: LCM of 150, 762, 462, 771, 432 is 27142592400.

2. How to calculate the LCM of 150, 762, 462, 771, 432?

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 150, 762, 462, 771, 432.

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}.