Given numbers are 242,402,177,992,912

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

The LCM of 242,402,177,992,912 is 27045730272.

Find LCM of 242,402,177,992,912 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 121 x 67 x 59 x 62 x 19 = 27045730272

Therefore, the lowest common multiple of 242,402,177,992,912 is 27045730272.

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 402 x 177 x 992 x 912 = 15578340636672

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

177 : 1, 3, 59, 177

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,402,177,992,912, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

402:2x 3x 67

177:3x 59

992:2x 2x 2x 2x 2x 31

912:2x 2x 2x 2x 3x 19

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 2x 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 15578340636672/(1x576)

LCM = 15578340636672/576

LCM = 27045730272

Thus, we can understand that the LCM of 242,402,177,992,912 is 27045730272.

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

• LCM of 154, 950, 750, 593, 487
• LCM of 364, 263, 745, 687, 799
• LCM of 633, 943, 236, 677, 414
• LCM of 397, 424, 734, 500, 702
• LCM of 875, 379, 166, 420, 831

1. What is the LCM of 242, 402, 177, 992, 912?

Answer: LCM of 242, 402, 177, 992, 912 is 27045730272.

2. How to calculate the LCM of 242, 402, 177, 992, 912?

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, 402, 177, 992, 912.

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}.