Given numbers are 460,982,592,942,994

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

The LCM of 460,982,592,942,994 is 7824891693360.

Find LCM of 460,982,592,942,994 with Prime Factorization

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

2 x 2 x 115 x 491 x 148 x 471 x 497 = 7824891693360

Therefore, the lowest common multiple of 460,982,592,942,994 is 7824891693360.

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.

460 x 982 x 592 x 942 x 994 = 250396534187520

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

982 : 1, 2, 491, 982

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

942 : 1, 2, 3, 6, 157, 314, 471, 942

994 : 1, 2, 7, 14, 71, 142, 497, 994

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,982,592,942,994, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

982:2x 491

592:2x 2x 2x 2x 37

942:2x 3x 157

994:2x 7x 71

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 2 = 16

Therefore, the value for common factors is 16.

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 = 250396534187520/(2x16)

LCM = 250396534187520/32

LCM = 7824891693360

Thus, we can understand that the LCM of 460,982,592,942,994 is 7824891693360.

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

• LCM of 834, 390, 408, 122, 219
• LCM of 425, 843, 902, 877, 789
• LCM of 915, 112, 215, 501, 378
• LCM of 260, 775, 287, 374, 328
• LCM of 109, 672, 867, 260, 398

1. What is the LCM of 460, 982, 592, 942, 994?

Answer: LCM of 460, 982, 592, 942, 994 is 7824891693360.

2. How to calculate the LCM of 460, 982, 592, 942, 994?

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 460, 982, 592, 942, 994.

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}.