Given numbers are 417,938,268,269

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

The LCM of 417,938,268,269 is 210436548.

Find LCM of 417,938,268,269 with Prime Factorization

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

2 x 67 x 417 x 7 x 2 x 269 = 210436548

Therefore, the lowest common multiple of 417,938,268,269 is 210436548.

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.

417 x 938 x 268 x 269 = 28198497432

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.

417 : 1, 3, 139, 417

938 : 1, 2, 7, 14, 67, 134, 469, 938

268 : 1, 2, 4, 67, 134, 268

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,938,268,269, is 1.

Now, the common factors can be found like this.

417:3x 139

938:2x 7x 67

268:2x 2x 67

269:269

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

2x 67 = 134

Therefore, the value for common factors is 134.

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 = 28198497432/(1x134)

LCM = 28198497432/134

LCM = 210436548

Thus, we can understand that the LCM of 417,938,268,269 is 210436548.

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

• LCM of 469, 375, 849, 901
• LCM of 986, 201, 636, 309
• LCM of 778, 193, 153, 362
• LCM of 137, 356, 963, 343
• LCM of 217, 277, 165, 476

1. What is the LCM of 417, 938, 268, 269?

Answer: LCM of 417, 938, 268, 269 is 210436548.

2. How to calculate the LCM of 417, 938, 268, 269?

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 417, 938, 268, 269.

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}.