Given numbers are 212,338,491,417

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

The LCM of 212,338,491,417 is 7335675516.

Find LCM of 212,338,491,417 with Prime Factorization

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

2 x 106 x 169 x 491 x 417 = 7335675516

Therefore, the lowest common multiple of 212,338,491,417 is 7335675516.

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.

212 x 338 x 491 x 417 = 14671351032

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.

212 : 1, 2, 4, 53, 106, 212

338 : 1, 2, 13, 26, 169, 338

491 : 1, 491

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,338,491,417, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

338:2x 13x 13

491:491

417:3x 139

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 14671351032/(1x2)

LCM = 14671351032/2

LCM = 7335675516

Thus, we can understand that the LCM of 212,338,491,417 is 7335675516.

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

• LCM of 277, 623, 309, 631
• LCM of 572, 221, 925, 304
• LCM of 732, 284, 543, 710
• LCM of 922, 875, 336, 580
• LCM of 830, 112, 320, 343

1. What is the LCM of 212, 338, 491, 417?

Answer: LCM of 212, 338, 491, 417 is 7335675516.

2. How to calculate the LCM of 212, 338, 491, 417?

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 212, 338, 491, 417.

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}.