Given numbers are 320,465,363,125,224

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

The LCM of 320,465,363,125,224 is 630168000.

Find LCM of 320,465,363,125,224 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 5 x 2 x 31 x 121 x 25 x 7 = 630168000

Therefore, the lowest common multiple of 320,465,363,125,224 is 630168000.

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.

320 x 465 x 363 x 125 x 224 = 1512403200000

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.

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

465 : 1, 3, 5, 15, 31, 93, 155, 465

363 : 1, 3, 11, 33, 121, 363

125 : 1, 5, 25, 125

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 320,465,363,125,224, is 1.

Now, the common factors can be found like this.

320:2x 2x 2x 2x 2x 2x 5

465:3x 5x 31

363:3x 11x 11

125:5x 5x 5

224:2x 2x 2x 2x 2x 7

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 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 1512403200000/(1x2400)

LCM = 1512403200000/2400

LCM = 630168000

Thus, we can understand that the LCM of 320,465,363,125,224 is 630168000.

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

• LCM of 816, 370, 758, 463, 305
• LCM of 546, 978, 502, 938, 791
• LCM of 937, 880, 161, 923, 353
• LCM of 190, 919, 296, 614, 955
• LCM of 453, 761, 766, 619, 619

1. What is the LCM of 320, 465, 363, 125, 224?

Answer: LCM of 320, 465, 363, 125, 224 is 630168000.

2. How to calculate the LCM of 320, 465, 363, 125, 224?

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 320, 465, 363, 125, 224.

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}.