Given numbers are 13,43,91,75,414

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

The LCM of 13,43,91,75,414 is 40499550.

Find LCM of 13,43,91,75,414 with Prime Factorization

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

3 x 13 x 1 x 43 x 7 x 25 x 138 = 40499550

Therefore, the lowest common multiple of 13,43,91,75,414 is 40499550.

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 43 x 91 x 75 x 414 = 1579482450

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

43 : 1, 43

91 : 1, 7, 13, 91

75 : 1, 3, 5, 15, 25, 75

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 13,43,91,75,414, is 1.

Now, the common factors can be found like this.

13:13

43:43

91:7x 13

75:3x 5x 5

414:2x 3x 3x 23

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 1579482450/(1x39)

LCM = 1579482450/39

LCM = 40499550

Thus, we can understand that the LCM of 13,43,91,75,414 is 40499550.

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

• LCM of 77, 98, 86, 56, 162
• LCM of 87, 14, 16, 12, 773
• LCM of 39, 48, 20, 94, 405
• LCM of 17, 54, 17, 46, 368
• LCM of 45, 53, 73, 23, 109

1. What is the LCM of 13, 43, 91, 75, 414?

Answer: LCM of 13, 43, 91, 75, 414 is 40499550.

2. How to calculate the LCM of 13, 43, 91, 75, 414?

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, 43, 91, 75, 414.

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}.