Given numbers are 832,313,507,338

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

The LCM of 832,313,507,338 is 10156224.

Find LCM of 832,313,507,338 with Prime Factorization

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

2 x 13 x 13 x 32 x 313 x 3 x 1 = 10156224

Therefore, the lowest common multiple of 832,313,507,338 is 10156224.

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.

832 x 313 x 507 x 338 = 44626448256

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.

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

313 : 1, 313

507 : 1, 3, 13, 39, 169, 507

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,313,507,338, is 1.

Now, the common factors can be found like this.

832:2x 2x 2x 2x 2x 2x 13

313:313

507:3x 13x 13

338:2x 13x 13

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

2x 13x 13x 13 = 4394

Therefore, the value for common factors is 4394.

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 = 44626448256/(1x4394)

LCM = 44626448256/4394

LCM = 10156224

Thus, we can understand that the LCM of 832,313,507,338 is 10156224.

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

• LCM of 356, 542, 582, 176
• LCM of 183, 391, 827, 444
• LCM of 966, 284, 469, 699
• LCM of 559, 350, 947, 707
• LCM of 116, 191, 462, 633

1. What is the LCM of 832, 313, 507, 338?

Answer: LCM of 832, 313, 507, 338 is 10156224.

2. How to calculate the LCM of 832, 313, 507, 338?

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 832, 313, 507, 338.

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}.