Given numbers are 13,76,19,39,194

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

The LCM of 13,76,19,39,194 is 287508.

Find LCM of 13,76,19,39,194 with Prime Factorization

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

2 x 13 x 19 x 1 x 2 x 1 x 3 x 97 = 287508

Therefore, the lowest common multiple of 13,76,19,39,194 is 287508.

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.

13 x 76 x 19 x 39 x 194 = 142028952

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.

13 : 1, 13

76 : 1, 2, 4, 19, 38, 76

19 : 1, 19

39 : 1, 3, 13, 39

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 13,76,19,39,194, is 1.

Now, the common factors can be found like this.

13:13

76:2x 2x 19

19:19

39:3x 13

194:2x 97

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

2x 13x 19 = 494

Therefore, the value for common factors is 494.

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 = 142028952/(1x494)

LCM = 142028952/494

LCM = 287508

Thus, we can understand that the LCM of 13,76,19,39,194 is 287508.

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

• LCM of 40, 39, 17, 93, 244
• LCM of 20, 54, 33, 23, 597
• LCM of 72, 89, 90, 29, 701
• LCM of 38, 19, 68, 11, 307
• LCM of 89, 13, 71, 14, 781

1. What is the LCM of 13, 76, 19, 39, 194?

Answer: LCM of 13, 76, 19, 39, 194 is 287508.

2. How to calculate the LCM of 13, 76, 19, 39, 194?

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 13, 76, 19, 39, 194.

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}.