Given numbers are 317,414,304,532

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

The LCM of 317,414,304,532 is 139637232.

Find LCM of 317,414,304,532 with Prime Factorization

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

2 x 2 x 19 x 317 x 207 x 4 x 7 = 139637232

Therefore, the lowest common multiple of 317,414,304,532 is 139637232.

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.

317 x 414 x 304 x 532 = 21224859264

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.

317 : 1, 317

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,414,304,532, is 1.

Now, the common factors can be found like this.

317:317

414:2x 3x 3x 23

304:2x 2x 2x 2x 19

532:2x 2x 7x 19

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 2x 19 = 152

Therefore, the value for common factors is 152.

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 = 21224859264/(1x152)

LCM = 21224859264/152

LCM = 139637232

Thus, we can understand that the LCM of 317,414,304,532 is 139637232.

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

• LCM of 632, 804, 962, 178
• LCM of 105, 933, 677, 840
• LCM of 607, 137, 620, 171
• LCM of 886, 351, 797, 626
• LCM of 185, 238, 647, 693

1. What is the LCM of 317, 414, 304, 532?

Answer: LCM of 317, 414, 304, 532 is 139637232.

2. How to calculate the LCM of 317, 414, 304, 532?

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 317, 414, 304, 532.

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}.