Given numbers are 304,316,648,652,390

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

The LCM of 304,316,648,652,390 is 20610411120.

Find LCM of 304,316,648,652,390 with Prime Factorization

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

2 x 2 x 2 x 3 x 38 x 79 x 27 x 163 x 65 = 20610411120

Therefore, the lowest common multiple of 304,316,648,652,390 is 20610411120.

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.

304 x 316 x 648 x 652 x 390 = 15828795740160

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.

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

316 : 1, 2, 4, 79, 158, 316

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

652 : 1, 2, 4, 163, 326, 652

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,316,648,652,390, is 2.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

316:2x 2x 79

648:2x 2x 2x 3x 3x 3x 3

652:2x 2x 163

390:2x 3x 5x 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 2x 2x 2x 2x 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 15828795740160/(2x384)

LCM = 15828795740160/768

LCM = 20610411120

Thus, we can understand that the LCM of 304,316,648,652,390 is 20610411120.

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

• LCM of 373, 648, 140, 323, 710
• LCM of 663, 777, 761, 614, 740
• LCM of 584, 892, 400, 321, 368
• LCM of 567, 447, 393, 210, 597
• LCM of 861, 639, 339, 253, 240

1. What is the LCM of 304, 316, 648, 652, 390?

Answer: LCM of 304, 316, 648, 652, 390 is 20610411120.

2. How to calculate the LCM of 304, 316, 648, 652, 390?

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 304, 316, 648, 652, 390.

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}.