Given numbers are 275,892,872,258,214

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

The LCM of 275,892,872,258,214 is 738120946200.

Find LCM of 275,892,872,258,214 with Prime Factorization

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

2 x 2 x 275 x 223 x 218 x 129 x 107 = 738120946200

Therefore, the lowest common multiple of 275,892,872,258,214 is 738120946200.

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.

275 x 892 x 872 x 258 x 214 = 11809935139200

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.

275 : 1, 5, 11, 25, 55, 275

892 : 1, 2, 4, 223, 446, 892

872 : 1, 2, 4, 8, 109, 218, 436, 872

258 : 1, 2, 3, 6, 43, 86, 129, 258

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 275,892,872,258,214, is 1.

Now, the common factors can be found like this.

275:5x 5x 11

892:2x 2x 223

872:2x 2x 2x 109

258:2x 3x 43

214:2x 107

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 11809935139200/(1x16)

LCM = 11809935139200/16

LCM = 738120946200

Thus, we can understand that the LCM of 275,892,872,258,214 is 738120946200.

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

• LCM of 178, 184, 789, 444, 467
• LCM of 907, 294, 835, 406, 991
• LCM of 979, 987, 604, 402, 729
• LCM of 742, 901, 462, 122, 214
• LCM of 208, 406, 212, 931, 527

1. What is the LCM of 275, 892, 872, 258, 214?

Answer: LCM of 275, 892, 872, 258, 214 is 738120946200.

2. How to calculate the LCM of 275, 892, 872, 258, 214?

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 275, 892, 872, 258, 214.

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}.