Given numbers are 398,723,241,419

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

The LCM of 398,723,241,419 is 120568926.

Find LCM of 398,723,241,419 with Prime Factorization

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

241 x 398 x 3 x 1 x 419 = 120568926

Therefore, the lowest common multiple of 398,723,241,419 is 120568926.

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.

398 x 723 x 241 x 419 = 29057111166

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.

398 : 1, 2, 199, 398

723 : 1, 3, 241, 723

241 : 1, 241

419 : 1, 419

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,723,241,419, is 1.

Now, the common factors can be found like this.

398:2x 199

723:3x 241

241:241

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.

241 = 241

Therefore, the value for common factors is 241.

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 = 29057111166/(1x241)

LCM = 29057111166/241

LCM = 120568926

Thus, we can understand that the LCM of 398,723,241,419 is 120568926.

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

• LCM of 476, 160, 312, 582
• LCM of 959, 168, 184, 561
• LCM of 489, 987, 804, 431
• LCM of 471, 566, 168, 157
• LCM of 350, 239, 782, 844

1. What is the LCM of 398, 723, 241, 419?

Answer: LCM of 398, 723, 241, 419 is 120568926.

2. How to calculate the LCM of 398, 723, 241, 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 398, 723, 241, 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}.