Given numbers are 992,363,292,582,918

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

The LCM of 992,363,292,582,918 is 390125485728.

Find LCM of 992,363,292,582,918 with Prime Factorization

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

2 x 2 x 3 x 248 x 121 x 73 x 97 x 153 = 390125485728

Therefore, the lowest common multiple of 992,363,292,582,918 is 390125485728.

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.

992 x 363 x 292 x 582 x 918 = 56178069944832

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.

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

363 : 1, 3, 11, 33, 121, 363

292 : 1, 2, 4, 73, 146, 292

582 : 1, 2, 3, 6, 97, 194, 291, 582

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,363,292,582,918, is 1.

Now, the common factors can be found like this.

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

363:3x 11x 11

292:2x 2x 73

582:2x 3x 97

918:2x 3x 3x 3x 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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 56178069944832/(1x144)

LCM = 56178069944832/144

LCM = 390125485728

Thus, we can understand that the LCM of 992,363,292,582,918 is 390125485728.

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

• LCM of 476, 561, 154, 757, 747
• LCM of 200, 875, 284, 632, 625
• LCM of 656, 158, 840, 733, 682
• LCM of 600, 623, 278, 346, 741
• LCM of 975, 676, 558, 913, 859

1. What is the LCM of 992, 363, 292, 582, 918?

Answer: LCM of 992, 363, 292, 582, 918 is 390125485728.

2. How to calculate the LCM of 992, 363, 292, 582, 918?

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 992, 363, 292, 582, 918.

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}.