Given numbers are 538,104,523,715,912

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

The LCM of 538,104,523,715,912 is 91739178960.

Find LCM of 538,104,523,715,912 with Prime Factorization

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

2 x 2 x 2 x 13 x 269 x 1 x 523 x 55 x 114 = 91739178960

Therefore, the lowest common multiple of 538,104,523,715,912 is 91739178960.

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.

538 x 104 x 523 x 715 x 912 = 19081749223680

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.

538 : 1, 2, 269, 538

104 : 1, 2, 4, 8, 13, 26, 52, 104

523 : 1, 523

715 : 1, 5, 11, 13, 55, 65, 143, 715

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,104,523,715,912, is 1.

Now, the common factors can be found like this.

538:2x 269

104:2x 2x 2x 13

523:523

715:5x 11x 13

912:2x 2x 2x 2x 3x 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 13 = 208

Therefore, the value for common factors is 208.

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 = 19081749223680/(1x208)

LCM = 19081749223680/208

LCM = 91739178960

Thus, we can understand that the LCM of 538,104,523,715,912 is 91739178960.

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

• LCM of 164, 960, 899, 477, 704
• LCM of 219, 659, 393, 643, 222
• LCM of 175, 767, 557, 786, 114
• LCM of 410, 835, 781, 233, 688
• LCM of 681, 955, 492, 190, 472

1. What is the LCM of 538, 104, 523, 715, 912?

Answer: LCM of 538, 104, 523, 715, 912 is 91739178960.

2. How to calculate the LCM of 538, 104, 523, 715, 912?

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 538, 104, 523, 715, 912.

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}.