Given numbers are 126,192,836,528,559

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

The LCM of 126,192,836,528,559 is 471062592.

Find LCM of 126,192,836,528,559 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 21 x 4 x 19 x 1 x 559 = 471062592

Therefore, the lowest common multiple of 126,192,836,528,559 is 471062592.

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.

126 x 192 x 836 x 528 x 559 = 5969305165824

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.

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

559 : 1, 13, 43, 559

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,192,836,528,559, is 1.

Now, the common factors can be found like this.

126:2x 3x 3x 7

192:2x 2x 2x 2x 2x 2x 3

836:2x 2x 11x 19

528:2x 2x 2x 2x 3x 11

559:13x 43

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 2x 2x 2x 3x 3x 11 = 12672

Therefore, the value for common factors is 12672.

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 = 5969305165824/(1x12672)

LCM = 5969305165824/12672

LCM = 471062592

Thus, we can understand that the LCM of 126,192,836,528,559 is 471062592.

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

• LCM of 256, 612, 427, 936, 956
• LCM of 539, 431, 976, 703, 238
• LCM of 649, 288, 992, 867, 940
• LCM of 538, 714, 639, 633, 776
• LCM of 890, 916, 758, 473, 903

1. What is the LCM of 126, 192, 836, 528, 559?

Answer: LCM of 126, 192, 836, 528, 559 is 471062592.

2. How to calculate the LCM of 126, 192, 836, 528, 559?

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 126, 192, 836, 528, 559.

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}.