Given numbers are 360,393,357,263,814

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

The LCM of 360,393,357,263,814 is 600718373640.

Find LCM of 360,393,357,263,814 with Prime Factorization

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

2 x 3 x 60 x 131 x 119 x 263 x 407 = 600718373640

Therefore, the lowest common multiple of 360,393,357,263,814 is 600718373640.

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.

360 x 393 x 357 x 263 x 814 = 10812930725520

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

393 : 1, 3, 131, 393

357 : 1, 3, 7, 17, 21, 51, 119, 357

263 : 1, 263

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,393,357,263,814, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

393:3x 131

357:3x 7x 17

263:263

814:2x 11x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 10812930725520/(1x18)

LCM = 10812930725520/18

LCM = 600718373640

Thus, we can understand that the LCM of 360,393,357,263,814 is 600718373640.

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

• LCM of 146, 616, 430, 271, 819
• LCM of 340, 424, 699, 304, 250
• LCM of 951, 603, 667, 441, 630
• LCM of 994, 217, 307, 321, 914
• LCM of 168, 769, 351, 333, 885

1. What is the LCM of 360, 393, 357, 263, 814?

Answer: LCM of 360, 393, 357, 263, 814 is 600718373640.

2. How to calculate the LCM of 360, 393, 357, 263, 814?

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 360, 393, 357, 263, 814.

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}.