Given numbers are 486,380,443,196,706

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

The LCM of 486,380,443,196,706 is 707561806140.

Find LCM of 486,380,443,196,706 with Prime Factorization

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

2 x 2 x 243 x 95 x 443 x 49 x 353 = 707561806140

Therefore, the lowest common multiple of 486,380,443,196,706 is 707561806140.

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.

486 x 380 x 443 x 196 x 706 = 11320988898240

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.

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

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

443 : 1, 443

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,380,443,196,706, is 1.

Now, the common factors can be found like this.

486:2x 3x 3x 3x 3x 3

380:2x 2x 5x 19

443:443

196:2x 2x 7x 7

706:2x 353

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 2 = 16

Therefore, the value for common factors is 16.

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 = 11320988898240/(1x16)

LCM = 11320988898240/16

LCM = 707561806140

Thus, we can understand that the LCM of 486,380,443,196,706 is 707561806140.

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

• LCM of 408, 976, 690, 242, 465
• LCM of 890, 541, 585, 570, 388
• LCM of 388, 450, 186, 491, 681
• LCM of 600, 983, 238, 708, 948
• LCM of 597, 924, 210, 368, 971

1. What is the LCM of 486, 380, 443, 196, 706?

Answer: LCM of 486, 380, 443, 196, 706 is 707561806140.

2. How to calculate the LCM of 486, 380, 443, 196, 706?

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 486, 380, 443, 196, 706.

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}.