Given numbers are 13,91,12,13,869

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

The LCM of 13,91,12,13,869 is 948948.

Find LCM of 13,91,12,13,869 with Prime Factorization

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

13 x 1 x 7 x 12 x 1 x 869 = 948948

Therefore, the lowest common multiple of 13,91,12,13,869 is 948948.

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 91 x 12 x 13 x 869 = 160372212

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

91 : 1, 7, 13, 91

12 : 1, 2, 3, 4, 6, 12

13 : 1, 13

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 13,91,12,13,869, is 1.

Now, the common factors can be found like this.

13:13

91:7x 13

12:2x 2x 3

13:13

869:11x 79

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 160372212/(1x169)

LCM = 160372212/169

LCM = 948948

Thus, we can understand that the LCM of 13,91,12,13,869 is 948948.

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

• LCM of 82, 44, 62, 22, 251
• LCM of 35, 51, 90, 55, 204
• LCM of 33, 61, 49, 23, 956
• LCM of 22, 26, 63, 39, 285
• LCM of 29, 30, 78, 76, 765

1. What is the LCM of 13, 91, 12, 13, 869?

Answer: LCM of 13, 91, 12, 13, 869 is 948948.

2. How to calculate the LCM of 13, 91, 12, 13, 869?

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, 91, 12, 13, 869.

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}.