Given numbers are 400,418,874,190,754

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

The LCM of 400,418,874,190,754 is 724895600.

Find LCM of 400,418,874,190,754 with Prime Factorization

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

2 x 5 x 19 x 40 x 11 x 23 x 1 x 377 = 724895600

Therefore, the lowest common multiple of 400,418,874,190,754 is 724895600.

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.

400 x 418 x 874 x 190 x 754 = 20934984928000

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

418 : 1, 2, 11, 19, 22, 38, 209, 418

874 : 1, 2, 19, 23, 38, 46, 437, 874

190 : 1, 2, 5, 10, 19, 38, 95, 190

754 : 1, 2, 13, 26, 29, 58, 377, 754

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,418,874,190,754, is 2.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

418:2x 11x 19

874:2x 19x 23

190:2x 5x 19

754:2x 13x 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 5x 19x 19 = 14440

Therefore, the value for common factors is 14440.

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 = 20934984928000/(2x14440)

LCM = 20934984928000/28880

LCM = 724895600

Thus, we can understand that the LCM of 400,418,874,190,754 is 724895600.

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

• LCM of 200, 103, 959, 845, 405
• LCM of 888, 623, 918, 446, 226
• LCM of 360, 271, 870, 712, 344
• LCM of 972, 499, 720, 676, 534
• LCM of 957, 985, 999, 566, 189

1. What is the LCM of 400, 418, 874, 190, 754?

Answer: LCM of 400, 418, 874, 190, 754 is 724895600.

2. How to calculate the LCM of 400, 418, 874, 190, 754?

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 400, 418, 874, 190, 754.

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}.