Given numbers are 440,317,714,103,468

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

The LCM of 440,317,714,103,468 is 200023944120.

Find LCM of 440,317,714,103,468 with Prime Factorization

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

2 x 2 x 3 x 110 x 317 x 119 x 103 x 39 = 200023944120

Therefore, the lowest common multiple of 440,317,714,103,468 is 200023944120.

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.

440 x 317 x 714 x 103 x 468 = 4800574658880

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

317 : 1, 317

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

103 : 1, 103

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,317,714,103,468, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

317:317

714:2x 3x 7x 17

103:103

468:2x 2x 3x 3x 13

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 3 = 24

Therefore, the value for common factors is 24.

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 = 4800574658880/(1x24)

LCM = 4800574658880/24

LCM = 200023944120

Thus, we can understand that the LCM of 440,317,714,103,468 is 200023944120.

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

• LCM of 707, 244, 135, 889, 666
• LCM of 437, 693, 141, 154, 210
• LCM of 493, 847, 935, 948, 651
• LCM of 379, 608, 922, 846, 902
• LCM of 983, 148, 588, 408, 354

1. What is the LCM of 440, 317, 714, 103, 468?

Answer: LCM of 440, 317, 714, 103, 468 is 200023944120.

2. How to calculate the LCM of 440, 317, 714, 103, 468?

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 440, 317, 714, 103, 468.

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}.