Given numbers are 328,417,314,838

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

The LCM of 328,417,314,838 is 8997535608.

Find LCM of 328,417,314,838 with Prime Factorization

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

2 x 164 x 417 x 157 x 419 = 8997535608

Therefore, the lowest common multiple of 328,417,314,838 is 8997535608.

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.

328 x 417 x 314 x 838 = 35990142432

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.

328 : 1, 2, 4, 8, 41, 82, 164, 328

417 : 1, 3, 139, 417

314 : 1, 2, 157, 314

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,417,314,838, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

417:3x 139

314:2x 157

838:2x 419

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 35990142432/(1x4)

LCM = 35990142432/4

LCM = 8997535608

Thus, we can understand that the LCM of 328,417,314,838 is 8997535608.

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

• LCM of 558, 971, 790, 192
• LCM of 213, 526, 744, 932
• LCM of 913, 238, 841, 234
• LCM of 241, 345, 584, 183
• LCM of 711, 955, 405, 850

1. What is the LCM of 328, 417, 314, 838?

Answer: LCM of 328, 417, 314, 838 is 8997535608.

2. How to calculate the LCM of 328, 417, 314, 838?

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 328, 417, 314, 838.

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}.