Given numbers are 460,892,361,303,116

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

The LCM of 460,892,361,303,116 is 325394736060.

Find LCM of 460,892,361,303,116 with Prime Factorization

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

2 x 2 x 115 x 223 x 361 x 303 x 29 = 325394736060

Therefore, the lowest common multiple of 460,892,361,303,116 is 325394736060.

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 892 x 361 x 303 x 116 = 5206315776960

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

892 : 1, 2, 4, 223, 446, 892

361 : 1, 19, 361

303 : 1, 3, 101, 303

116 : 1, 2, 4, 29, 58, 116

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,892,361,303,116, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

892:2x 2x 223

361:19x 19

303:3x 101

116:2x 2x 29

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 = 5206315776960/(1x16)

LCM = 5206315776960/16

LCM = 325394736060

Thus, we can understand that the LCM of 460,892,361,303,116 is 325394736060.

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

• LCM of 864, 869, 451, 622, 226
• LCM of 667, 180, 348, 363, 361
• LCM of 178, 255, 518, 942, 587
• LCM of 927, 923, 958, 845, 417
• LCM of 252, 613, 340, 735, 540

1. What is the LCM of 460, 892, 361, 303, 116?

Answer: LCM of 460, 892, 361, 303, 116 is 325394736060.

2. How to calculate the LCM of 460, 892, 361, 303, 116?

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, 892, 361, 303, 116.

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}.