Given numbers are 393,987,419

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

The LCM of 393,987,419 is 54175443.

Find LCM of 393,987,419 with Prime Factorization

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

3 x 131 x 329 x 419 = 54175443

Therefore, the lowest common multiple of 393,987,419 is 54175443.

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 987 x 419 = 162526329

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

987 : 1, 3, 7, 21, 47, 141, 329, 987

419 : 1, 419

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,987,419, is 1.

Now, the common factors can be found like this.

393:3x 131

987:3x 7x 47

419:419

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

3 = 3

Therefore, the value for common factors is 3.

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 = 162526329/(1x3)

LCM = 162526329/3

LCM = 54175443

Thus, we can understand that the LCM of 393,987,419 is 54175443.

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

• LCM of 593, 614, 567
• LCM of 230, 120, 993
• LCM of 368, 622, 182
• LCM of 418, 708, 578
• LCM of 613, 815, 804

1. What is the LCM of 393, 987, 419?

Answer: LCM of 393, 987, 419 is 54175443.

2. How to calculate the LCM of 393, 987, 419?

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, 987, 419.

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}.