Given numbers are 671,232,214,316,105

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

The LCM of 671,232,214,316,105 is 138169018680.

Find LCM of 671,232,214,316,105 with Prime Factorization

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

2 x 2 x 671 x 58 x 107 x 79 x 105 = 138169018680

Therefore, the lowest common multiple of 671,232,214,316,105 is 138169018680.

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.

671 x 232 x 214 x 316 x 105 = 1105352149440

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.

671 : 1, 11, 61, 671

232 : 1, 2, 4, 8, 29, 58, 116, 232

214 : 1, 2, 107, 214

316 : 1, 2, 4, 79, 158, 316

105 : 1, 3, 5, 7, 15, 21, 35, 105

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,232,214,316,105, is 1.

Now, the common factors can be found like this.

671:11x 61

232:2x 2x 2x 29

214:2x 107

316:2x 2x 79

105:3x 5x 7

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 2 = 8

Therefore, the value for common factors is 8.

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 = 1105352149440/(1x8)

LCM = 1105352149440/8

LCM = 138169018680

Thus, we can understand that the LCM of 671,232,214,316,105 is 138169018680.

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

• LCM of 486, 452, 616, 364, 230
• LCM of 935, 601, 750, 814, 169
• LCM of 109, 760, 253, 983, 759
• LCM of 513, 630, 288, 481, 665
• LCM of 992, 510, 548, 427, 809

1. What is the LCM of 671, 232, 214, 316, 105?

Answer: LCM of 671, 232, 214, 316, 105 is 138169018680.

2. How to calculate the LCM of 671, 232, 214, 316, 105?

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 671, 232, 214, 316, 105.

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}.