Given numbers are 249,687,687,959,170

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

The LCM of 249,687,687,959,170 is 9296133630.

Find LCM of 249,687,687,959,170 with Prime Factorization

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

3 x 229 x 83 x 1 x 1 x 959 x 170 = 9296133630

Therefore, the lowest common multiple of 249,687,687,959,170 is 9296133630.

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.

249 x 687 x 687 x 959 x 170 = 19159331411430

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.

249 : 1, 3, 83, 249

687 : 1, 3, 229, 687

687 : 1, 3, 229, 687

959 : 1, 7, 137, 959

170 : 1, 2, 5, 10, 17, 34, 85, 170

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,687,687,959,170, is 1.

Now, the common factors can be found like this.

249:3x 83

687:3x 229

687:3x 229

959:7x 137

170:2x 5x 17

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 229 = 2061

Therefore, the value for common factors is 2061.

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 = 19159331411430/(1x2061)

LCM = 19159331411430/2061

LCM = 9296133630

Thus, we can understand that the LCM of 249,687,687,959,170 is 9296133630.

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

• LCM of 528, 909, 700, 339, 609
• LCM of 185, 107, 824, 442, 171
• LCM of 225, 432, 902, 403, 287
• LCM of 864, 694, 985, 470, 386
• LCM of 363, 811, 426, 795, 226

1. What is the LCM of 249, 687, 687, 959, 170?

Answer: LCM of 249, 687, 687, 959, 170 is 9296133630.

2. How to calculate the LCM of 249, 687, 687, 959, 170?

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 249, 687, 687, 959, 170.

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}.