Given numbers are 393,17,374

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

The LCM of 393,17,374 is 146982.

Find LCM of 393,17,374 with Prime Factorization

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

17 x 393 x 1 x 22 = 146982

Therefore, the lowest common multiple of 393,17,374 is 146982.

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.

393 x 17 x 374 = 2498694

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.

393 : 1, 3, 131, 393

17 : 1, 17

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,17,374, is 1.

Now, the common factors can be found like this.

393:3x 131

17:17

374:2x 11x 17

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

17 = 17

Therefore, the value for common factors is 17.

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 = 2498694/(1x17)

LCM = 2498694/17

LCM = 146982

Thus, we can understand that the LCM of 393,17,374 is 146982.

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

• LCM of 685, 77, 694
• LCM of 357, 32, 614
• LCM of 550, 94, 627
• LCM of 697, 71, 941
• LCM of 783, 11, 672

1. What is the LCM of 393, 17, 374?

Answer: LCM of 393, 17, 374 is 146982.

2. How to calculate the LCM of 393, 17, 374?

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 393, 17, 374.

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}.