Given numbers are 390,213,707,538

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

The LCM of 390,213,707,538 is 5266167270.

Find LCM of 390,213,707,538 with Prime Factorization

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

2 x 3 x 65 x 71 x 707 x 269 = 5266167270

Therefore, the lowest common multiple of 390,213,707,538 is 5266167270.

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.

390 x 213 x 707 x 538 = 31597003620

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

213 : 1, 3, 71, 213

707 : 1, 7, 101, 707

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,213,707,538, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

213:3x 71

707:7x 101

538:2x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 31597003620/(1x6)

LCM = 31597003620/6

LCM = 5266167270

Thus, we can understand that the LCM of 390,213,707,538 is 5266167270.

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

• LCM of 222, 298, 220, 362
• LCM of 422, 728, 347, 425
• LCM of 977, 893, 494, 965
• LCM of 171, 792, 659, 277
• LCM of 630, 197, 914, 434

1. What is the LCM of 390, 213, 707, 538?

Answer: LCM of 390, 213, 707, 538 is 5266167270.

2. How to calculate the LCM of 390, 213, 707, 538?

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 390, 213, 707, 538.

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}.