Given numbers are 107,365,194,671,268

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

The LCM of 107,365,194,671,268 is 681248706380.

Find LCM of 107,365,194,671,268 with Prime Factorization

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

2 x 107 x 365 x 97 x 671 x 134 = 681248706380

Therefore, the lowest common multiple of 107,365,194,671,268 is 681248706380.

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.

107 x 365 x 194 x 671 x 268 = 1362497412760

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.

107 : 1, 107

365 : 1, 5, 73, 365

194 : 1, 2, 97, 194

671 : 1, 11, 61, 671

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,365,194,671,268, is 1.

Now, the common factors can be found like this.

107:107

365:5x 73

194:2x 97

671:11x 61

268:2x 2x 67

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 1362497412760/(1x2)

LCM = 1362497412760/2

LCM = 681248706380

Thus, we can understand that the LCM of 107,365,194,671,268 is 681248706380.

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

• LCM of 811, 800, 510, 181, 677
• LCM of 580, 229, 271, 142, 768
• LCM of 902, 829, 193, 653, 423
• LCM of 374, 796, 560, 700, 845
• LCM of 605, 383, 547, 562, 943

1. What is the LCM of 107, 365, 194, 671, 268?

Answer: LCM of 107, 365, 194, 671, 268 is 681248706380.

2. How to calculate the LCM of 107, 365, 194, 671, 268?

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 107, 365, 194, 671, 268.

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}.