Given numbers are 138,584,589,561

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

The LCM of 138,584,589,561 is 4438322328.

Find LCM of 138,584,589,561 with Prime Factorization

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

2 x 3 x 23 x 292 x 589 x 187 = 4438322328

Therefore, the lowest common multiple of 138,584,589,561 is 4438322328.

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 584 x 589 x 561 = 26629933968

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

584 : 1, 2, 4, 8, 73, 146, 292, 584

589 : 1, 19, 31, 589

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,584,589,561, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

584:2x 2x 2x 73

589:19x 31

561:3x 11x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 26629933968/(1x6)

LCM = 26629933968/6

LCM = 4438322328

Thus, we can understand that the LCM of 138,584,589,561 is 4438322328.

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

• LCM of 288, 618, 532, 754
• LCM of 209, 845, 120, 426
• LCM of 501, 879, 529, 123
• LCM of 514, 452, 996, 140
• LCM of 563, 930, 223, 507

1. What is the LCM of 138, 584, 589, 561?

Answer: LCM of 138, 584, 589, 561 is 4438322328.

2. How to calculate the LCM of 138, 584, 589, 561?

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, 584, 589, 561.

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}.