Given numbers are 400,398,282

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

The LCM of 400,398,282 is 11223600.

Find LCM of 400,398,282 with Prime Factorization

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

2 x 200 x 199 x 141 = 11223600

Therefore, the lowest common multiple of 400,398,282 is 11223600.

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 398 x 282 = 44894400

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

398 : 1, 2, 199, 398

282 : 1, 2, 3, 6, 47, 94, 141, 282

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,398,282, is 2.

Now, the common factors can be found like this.

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

398:2x 199

282:2x 3x 47

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

2 = 2

Therefore, the value for common factors is 2.

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 = 44894400/(2x2)

LCM = 44894400/4

LCM = 11223600

Thus, we can understand that the LCM of 400,398,282 is 11223600.

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

• LCM of 208, 828, 890
• LCM of 743, 257, 358
• LCM of 715, 490, 375
• LCM of 374, 407, 404
• LCM of 814, 474, 738

1. What is the LCM of 400, 398, 282?

Answer: LCM of 400, 398, 282 is 11223600.

2. How to calculate the LCM of 400, 398, 282?

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, 398, 282.

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}.