Given numbers are 106,114,248,417

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

The LCM of 106,114,248,417 is 104139912.

Find LCM of 106,114,248,417 with Prime Factorization

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

2 x 3 x 53 x 19 x 124 x 139 = 104139912

Therefore, the lowest common multiple of 106,114,248,417 is 104139912.

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.

106 x 114 x 248 x 417 = 1249678944

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.

106 : 1, 2, 53, 106

114 : 1, 2, 3, 6, 19, 38, 57, 114

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

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,114,248,417, is 1.

Now, the common factors can be found like this.

106:2x 53

114:2x 3x 19

248:2x 2x 2x 31

417:3x 139

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 1249678944/(1x12)

LCM = 1249678944/12

LCM = 104139912

Thus, we can understand that the LCM of 106,114,248,417 is 104139912.

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

• LCM of 762, 359, 859, 384
• LCM of 227, 242, 152, 790
• LCM of 525, 784, 459, 179
• LCM of 848, 912, 224, 840
• LCM of 137, 888, 398, 939

1. What is the LCM of 106, 114, 248, 417?

Answer: LCM of 106, 114, 248, 417 is 104139912.

2. How to calculate the LCM of 106, 114, 248, 417?

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 106, 114, 248, 417.

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}.