Given numbers are 924,328,943,214,122

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

The LCM of 924,328,943,214,122 is 11374367928.

Find LCM of 924,328,943,214,122 with Prime Factorization

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

2 x 2 x 41 x 231 x 2 x 23 x 107 x 61 = 11374367928

Therefore, the lowest common multiple of 924,328,943,214,122 is 11374367928.

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.

924 x 328 x 943 x 214 x 122 = 7461585360768

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

328 : 1, 2, 4, 8, 41, 82, 164, 328

943 : 1, 23, 41, 943

214 : 1, 2, 107, 214

122 : 1, 2, 61, 122

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,328,943,214,122, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

328:2x 2x 2x 41

943:23x 41

214:2x 107

122:2x 61

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 2x 41 = 656

Therefore, the value for common factors is 656.

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 = 7461585360768/(1x656)

LCM = 7461585360768/656

LCM = 11374367928

Thus, we can understand that the LCM of 924,328,943,214,122 is 11374367928.

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

• LCM of 702, 419, 706, 244, 763
• LCM of 233, 649, 844, 444, 396
• LCM of 622, 426, 824, 126, 379
• LCM of 410, 511, 671, 853, 800
• LCM of 298, 702, 387, 668, 215

1. What is the LCM of 924, 328, 943, 214, 122?

Answer: LCM of 924, 328, 943, 214, 122 is 11374367928.

2. How to calculate the LCM of 924, 328, 943, 214, 122?

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 924, 328, 943, 214, 122.

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}.