Given numbers are 961,523,214,568,558

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

The LCM of 961,523,214,568,558 is 274915799352.

Find LCM of 961,523,214,568,558 with Prime Factorization

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

2 x 31 x 31 x 523 x 107 x 284 x 9 = 274915799352

Therefore, the lowest common multiple of 961,523,214,568,558 is 274915799352.

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.

961 x 523 x 214 x 568 x 558 = 34089559119648

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.

961 : 1, 31, 961

523 : 1, 523

214 : 1, 2, 107, 214

568 : 1, 2, 4, 8, 71, 142, 284, 568

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,523,214,568,558, is 1.

Now, the common factors can be found like this.

961:31x 31

523:523

214:2x 107

568:2x 2x 2x 71

558:2x 3x 3x 31

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 31 = 124

Therefore, the value for common factors is 124.

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 = 34089559119648/(1x124)

LCM = 34089559119648/124

LCM = 274915799352

Thus, we can understand that the LCM of 961,523,214,568,558 is 274915799352.

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

• LCM of 729, 490, 988, 579, 891
• LCM of 109, 319, 550, 503, 433
• LCM of 968, 622, 274, 663, 770
• LCM of 490, 448, 356, 744, 597
• LCM of 231, 523, 207, 529, 944

1. What is the LCM of 961, 523, 214, 568, 558?

Answer: LCM of 961, 523, 214, 568, 558 is 274915799352.

2. How to calculate the LCM of 961, 523, 214, 568, 558?

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 961, 523, 214, 568, 558.

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}.