Given numbers are 212,486,970,142,173

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

The LCM of 212,486,970,142,173 is 306893948580.

Find LCM of 212,486,970,142,173 with Prime Factorization

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

2 x 106 x 243 x 485 x 71 x 173 = 306893948580

Therefore, the lowest common multiple of 212,486,970,142,173 is 306893948580.

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 486 x 970 x 142 x 173 = 2455151588640

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

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

970 : 1, 2, 5, 10, 97, 194, 485, 970

142 : 1, 2, 71, 142

173 : 1, 173

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,486,970,142,173, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

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

970:2x 5x 97

142:2x 71

173:173

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 2 = 8

Therefore, the value for common factors is 8.

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 = 2455151588640/(1x8)

LCM = 2455151588640/8

LCM = 306893948580

Thus, we can understand that the LCM of 212,486,970,142,173 is 306893948580.

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

• LCM of 657, 105, 141, 871, 842
• LCM of 267, 267, 233, 871, 435
• LCM of 250, 813, 901, 892, 867
• LCM of 642, 408, 550, 503, 383
• LCM of 909, 724, 710, 325, 431

1. What is the LCM of 212, 486, 970, 142, 173?

Answer: LCM of 212, 486, 970, 142, 173 is 306893948580.

2. How to calculate the LCM of 212, 486, 970, 142, 173?

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, 486, 970, 142, 173.

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}.