Given numbers are 114,132,418,605,553

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

The LCM of 114,132,418,605,553 is 76280820.

Find LCM of 114,132,418,605,553 with Prime Factorization

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

2 x 3 x 11 x 19 x 1 x 2 x 1 x 55 x 553 = 76280820

Therefore, the lowest common multiple of 114,132,418,605,553 is 76280820.

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.

114 x 132 x 418 x 605 x 553 = 2104435262160

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

418 : 1, 2, 11, 19, 22, 38, 209, 418

605 : 1, 5, 11, 55, 121, 605

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,132,418,605,553, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

132:2x 2x 3x 11

418:2x 11x 19

605:5x 11x 11

553:7x 79

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 3x 11x 11x 19 = 27588

Therefore, the value for common factors is 27588.

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 = 2104435262160/(1x27588)

LCM = 2104435262160/27588

LCM = 76280820

Thus, we can understand that the LCM of 114,132,418,605,553 is 76280820.

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

• LCM of 676, 236, 737, 869, 984
• LCM of 942, 243, 561, 499, 466
• LCM of 501, 243, 555, 216, 410
• LCM of 260, 233, 344, 801, 667
• LCM of 567, 764, 375, 642, 873

1. What is the LCM of 114, 132, 418, 605, 553?

Answer: LCM of 114, 132, 418, 605, 553 is 76280820.

2. How to calculate the LCM of 114, 132, 418, 605, 553?

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 114, 132, 418, 605, 553.

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}.