Given numbers are 197,161,414,507,831

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

The LCM of 197,161,414,507,831 is 26725822578.

Find LCM of 197,161,414,507,831 with Prime Factorization

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

3 x 23 x 197 x 7 x 6 x 169 x 277 = 26725822578

Therefore, the lowest common multiple of 197,161,414,507,831 is 26725822578.

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.

197 x 161 x 414 x 507 x 831 = 5532245273646

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.

197 : 1, 197

161 : 1, 7, 23, 161

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

507 : 1, 3, 13, 39, 169, 507

831 : 1, 3, 277, 831

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,161,414,507,831, is 1.

Now, the common factors can be found like this.

197:197

161:7x 23

414:2x 3x 3x 23

507:3x 13x 13

831:3x 277

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

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 5532245273646/(1x207)

LCM = 5532245273646/207

LCM = 26725822578

Thus, we can understand that the LCM of 197,161,414,507,831 is 26725822578.

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

• LCM of 833, 835, 998, 996, 307
• LCM of 878, 500, 742, 104, 956
• LCM of 434, 981, 508, 424, 969
• LCM of 700, 877, 404, 475, 417
• LCM of 832, 361, 566, 714, 429

1. What is the LCM of 197, 161, 414, 507, 831?

Answer: LCM of 197, 161, 414, 507, 831 is 26725822578.

2. How to calculate the LCM of 197, 161, 414, 507, 831?

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 197, 161, 414, 507, 831.

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}.