Given numbers are 320,506,644,283,106

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

The LCM of 320,506,644,283,106 is 8500233280.

Find LCM of 320,506,644,283,106 with Prime Factorization

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

2 x 2 x 23 x 80 x 11 x 7 x 283 x 53 = 8500233280

Therefore, the lowest common multiple of 320,506,644,283,106 is 8500233280.

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 506 x 644 x 283 x 106 = 3128085847040

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

283 : 1, 283

106 : 1, 2, 53, 106

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 320,506,644,283,106, is 1.

Now, the common factors can be found like this.

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

506:2x 11x 23

644:2x 2x 7x 23

283:283

106:2x 53

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 23 = 368

Therefore, the value for common factors is 368.

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 = 3128085847040/(1x368)

LCM = 3128085847040/368

LCM = 8500233280

Thus, we can understand that the LCM of 320,506,644,283,106 is 8500233280.

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

• LCM of 858, 274, 958, 390, 438
• LCM of 383, 219, 899, 193, 526
• LCM of 250, 431, 266, 857, 651
• LCM of 724, 114, 417, 500, 726
• LCM of 959, 799, 203, 955, 662

1. What is the LCM of 320, 506, 644, 283, 106?

Answer: LCM of 320, 506, 644, 283, 106 is 8500233280.

2. How to calculate the LCM of 320, 506, 644, 283, 106?

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, 506, 644, 283, 106.

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}.