Given numbers are 320,497,108,380

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

The LCM of 320,497,108,380 is 81587520.

Find LCM of 320,497,108,380 with Prime Factorization

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

2 x 2 x 5 x 16 x 497 x 27 x 19 = 81587520

Therefore, the lowest common multiple of 320,497,108,380 is 81587520.

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 497 x 108 x 380 = 6527001600

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

497 : 1, 7, 71, 497

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 320,497,108,380, is 1.

Now, the common factors can be found like this.

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

497:7x 71

108:2x 2x 3x 3x 3

380:2x 2x 5x 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 2x 5 = 80

Therefore, the value for common factors is 80.

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 = 6527001600/(1x80)

LCM = 6527001600/80

LCM = 81587520

Thus, we can understand that the LCM of 320,497,108,380 is 81587520.

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

• LCM of 760, 694, 255, 948
• LCM of 891, 619, 193, 111
• LCM of 575, 931, 108, 846
• LCM of 364, 601, 629, 779
• LCM of 784, 422, 604, 452

1. What is the LCM of 320, 497, 108, 380?

Answer: LCM of 320, 497, 108, 380 is 81587520.

2. How to calculate the LCM of 320, 497, 108, 380?

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, 497, 108, 380.

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}.