Given numbers are 394,370,576,466,414

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

The LCM of 394,370,576,466,414 is 112497842880.

Find LCM of 394,370,576,466,414 with Prime Factorization

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

2 x 3 x 3 x 197 x 185 x 32 x 233 x 23 = 112497842880

Therefore, the lowest common multiple of 394,370,576,466,414 is 112497842880.

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.

394 x 370 x 576 x 466 x 414 = 16199689374720

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.

394 : 1, 2, 197, 394

370 : 1, 2, 5, 10, 37, 74, 185, 370

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

466 : 1, 2, 233, 466

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,370,576,466,414, is 2.

Now, the common factors can be found like this.

394:2x 197

370:2x 5x 37

576:2x 2x 2x 2x 2x 2x 3x 3

466:2x 233

414:2x 3x 3x 23

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 16199689374720/(2x72)

LCM = 16199689374720/144

LCM = 112497842880

Thus, we can understand that the LCM of 394,370,576,466,414 is 112497842880.

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

• LCM of 103, 165, 157, 180, 470
• LCM of 650, 294, 562, 632, 953
• LCM of 358, 794, 379, 916, 716
• LCM of 318, 468, 295, 578, 645
• LCM of 714, 748, 564, 973, 487

1. What is the LCM of 394, 370, 576, 466, 414?

Answer: LCM of 394, 370, 576, 466, 414 is 112497842880.

2. How to calculate the LCM of 394, 370, 576, 466, 414?

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 394, 370, 576, 466, 414.

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}.