Given numbers are 214,294,258,824

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

The LCM of 214,294,258,824 is 557309928.

Find LCM of 214,294,258,824 with Prime Factorization

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

2 x 3 x 107 x 49 x 43 x 412 = 557309928

Therefore, the lowest common multiple of 214,294,258,824 is 557309928.

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.

214 x 294 x 258 x 824 = 13375438272

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.

214 : 1, 2, 107, 214

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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

824 : 1, 2, 4, 8, 103, 206, 412, 824

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,294,258,824, is 2.

Now, the common factors can be found like this.

214:2x 107

294:2x 3x 7x 7

258:2x 3x 43

824:2x 2x 2x 103

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 3 = 12

Therefore, the value for common factors is 12.

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 = 13375438272/(2x12)

LCM = 13375438272/24

LCM = 557309928

Thus, we can understand that the LCM of 214,294,258,824 is 557309928.

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

• LCM of 449, 150, 637, 123
• LCM of 231, 778, 148, 392
• LCM of 364, 450, 565, 551
• LCM of 735, 194, 818, 340
• LCM of 832, 987, 644, 866

1. What is the LCM of 214, 294, 258, 824?

Answer: LCM of 214, 294, 258, 824 is 557309928.

2. How to calculate the LCM of 214, 294, 258, 824?

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 214, 294, 258, 824.

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}.