Given numbers are 157,242,798,414,400

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

The LCM of 157,242,798,414,400 is 209202562800.

Find LCM of 157,242,798,414,400 with Prime Factorization

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

2 x 3 x 157 x 121 x 133 x 69 x 200 = 209202562800

Therefore, the lowest common multiple of 157,242,798,414,400 is 209202562800.

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.

157 x 242 x 798 x 414 x 400 = 5020861507200

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.

157 : 1, 157

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

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,242,798,414,400, is 1.

Now, the common factors can be found like this.

157:157

242:2x 11x 11

798:2x 3x 7x 19

414:2x 3x 3x 23

400:2x 2x 2x 2x 5x 5

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 3 = 24

Therefore, the value for common factors is 24.

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 = 5020861507200/(1x24)

LCM = 5020861507200/24

LCM = 209202562800

Thus, we can understand that the LCM of 157,242,798,414,400 is 209202562800.

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

• LCM of 557, 795, 612, 444, 861
• LCM of 298, 737, 415, 275, 347
• LCM of 308, 569, 198, 508, 445
• LCM of 329, 230, 452, 443, 548
• LCM of 522, 964, 896, 758, 819

1. What is the LCM of 157, 242, 798, 414, 400?

Answer: LCM of 157, 242, 798, 414, 400 is 209202562800.

2. How to calculate the LCM of 157, 242, 798, 414, 400?

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 157, 242, 798, 414, 400.

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}.