Given numbers are 248,403,414,199

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

The LCM of 248,403,414,199 is 132806232.

Find LCM of 248,403,414,199 with Prime Factorization

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

2 x 31 x 4 x 13 x 207 x 199 = 132806232

Therefore, the lowest common multiple of 248,403,414,199 is 132806232.

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.

248 x 403 x 414 x 199 = 8233986384

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.

248 : 1, 2, 4, 8, 31, 62, 124, 248

403 : 1, 13, 31, 403

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

199 : 1, 199

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,403,414,199, is 1.

Now, the common factors can be found like this.

248:2x 2x 2x 31

403:13x 31

414:2x 3x 3x 23

199:199

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

2x 31 = 62

Therefore, the value for common factors is 62.

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 = 8233986384/(1x62)

LCM = 8233986384/62

LCM = 132806232

Thus, we can understand that the LCM of 248,403,414,199 is 132806232.

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

• LCM of 297, 801, 737, 909
• LCM of 471, 975, 515, 873
• LCM of 483, 851, 832, 886
• LCM of 385, 404, 751, 108
• LCM of 972, 508, 705, 537

1. What is the LCM of 248, 403, 414, 199?

Answer: LCM of 248, 403, 414, 199 is 132806232.

2. How to calculate the LCM of 248, 403, 414, 199?

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 248, 403, 414, 199.

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}.