Given numbers are 212,278,195,470

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

The LCM of 212,278,195,470 is 270074220.

Find LCM of 212,278,195,470 with Prime Factorization

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

2 x 5 x 106 x 139 x 39 x 47 = 270074220

Therefore, the lowest common multiple of 212,278,195,470 is 270074220.

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 278 x 195 x 470 = 5401484400

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

278 : 1, 2, 139, 278

195 : 1, 3, 5, 13, 15, 39, 65, 195

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,278,195,470, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

278:2x 139

195:3x 5x 13

470:2x 5x 47

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 5 = 20

Therefore, the value for common factors is 20.

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 = 5401484400/(1x20)

LCM = 5401484400/20

LCM = 270074220

Thus, we can understand that the LCM of 212,278,195,470 is 270074220.

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

• LCM of 829, 551, 386, 261
• LCM of 631, 494, 716, 738
• LCM of 303, 617, 742, 667
• LCM of 969, 545, 144, 813
• LCM of 284, 157, 522, 124

1. What is the LCM of 212, 278, 195, 470?

Answer: LCM of 212, 278, 195, 470 is 270074220.

2. How to calculate the LCM of 212, 278, 195, 470?

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, 278, 195, 470.

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}.