Given numbers are 242,163,858,629,340

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

The LCM of 242,163,858,629,340 is 9676498260.

Find LCM of 242,163,858,629,340 with Prime Factorization

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

2 x 11 x 17 x 11 x 163 x 39 x 37 x 10 = 9676498260

Therefore, the lowest common multiple of 242,163,858,629,340 is 9676498260.

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.

242 x 163 x 858 x 629 x 340 = 7238020698480

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.

242 : 1, 2, 11, 22, 121, 242

163 : 1, 163

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

629 : 1, 17, 37, 629

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,163,858,629,340, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

163:163

858:2x 3x 11x 13

629:17x 37

340:2x 2x 5x 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 2x 11x 17 = 748

Therefore, the value for common factors is 748.

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 = 7238020698480/(1x748)

LCM = 7238020698480/748

LCM = 9676498260

Thus, we can understand that the LCM of 242,163,858,629,340 is 9676498260.

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

• LCM of 134, 231, 123, 131, 744
• LCM of 739, 293, 399, 684, 530
• LCM of 298, 812, 918, 971, 834
• LCM of 583, 112, 577, 653, 627
• LCM of 757, 494, 379, 428, 484

1. What is the LCM of 242, 163, 858, 629, 340?

Answer: LCM of 242, 163, 858, 629, 340 is 9676498260.

2. How to calculate the LCM of 242, 163, 858, 629, 340?

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 242, 163, 858, 629, 340.

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}.