Given numbers are 65,13,91,897

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

The LCM of 65,13,91,897 is 31395.

Find LCM of 65,13,91,897 with Prime Factorization

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

13 x 5 x 1 x 7 x 69 = 31395

Therefore, the lowest common multiple of 65,13,91,897 is 31395.

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.

65 x 13 x 91 x 897 = 68974815

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.

65 : 1, 5, 13, 65

13 : 1, 13

91 : 1, 7, 13, 91

897 : 1, 3, 13, 23, 39, 69, 299, 897

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 65,13,91,897, is 13.

Now, the common factors can be found like this.

65:5x 13

13:13

91:7x 13

897:3x 13x 23

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 = 68974815/(13x169)

LCM = 68974815/2197

LCM = 31395

Thus, we can understand that the LCM of 65,13,91,897 is 31395.

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

• LCM of 59, 31, 40, 498
• LCM of 75, 18, 29, 670
• LCM of 14, 54, 95, 272
• LCM of 74, 15, 83, 583
• LCM of 37, 86, 32, 638

1. What is the LCM of 65, 13, 91, 897?

Answer: LCM of 65, 13, 91, 897 is 31395.

2. How to calculate the LCM of 65, 13, 91, 897?

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 65, 13, 91, 897.

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}.