Given numbers are 398,146,363

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

The LCM of 398,146,363 is 10546602.

Find LCM of 398,146,363 with Prime Factorization

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

2 x 199 x 73 x 363 = 10546602

Therefore, the lowest common multiple of 398,146,363 is 10546602.

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 146 x 363 = 21093204

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

146 : 1, 2, 73, 146

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,146,363, is 1.

Now, the common factors can be found like this.

398:2x 199

146:2x 73

363:3x 11x 11

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 = 21093204/(1x2)

LCM = 21093204/2

LCM = 10546602

Thus, we can understand that the LCM of 398,146,363 is 10546602.

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

• LCM of 863, 806, 730
• LCM of 728, 172, 100
• LCM of 861, 570, 742
• LCM of 133, 747, 345
• LCM of 301, 904, 542

1. What is the LCM of 398, 146, 363?

Answer: LCM of 398, 146, 363 is 10546602.

2. How to calculate the LCM of 398, 146, 363?

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, 146, 363.

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}.