Given numbers are 13,79,91,69,728

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

The LCM of 13,79,91,69,728 is 3968328.

Find LCM of 13,79,91,69,728 with Prime Factorization

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

7 x 13 x 1 x 79 x 1 x 69 x 8 = 3968328

Therefore, the lowest common multiple of 13,79,91,69,728 is 3968328.

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 79 x 91 x 69 x 728 = 4694532024

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

79 : 1, 79

91 : 1, 7, 13, 91

69 : 1, 3, 23, 69

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 13,79,91,69,728, is 1.

Now, the common factors can be found like this.

13:13

79:79

91:7x 13

69:3x 23

728:2x 2x 2x 7x 13

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

7x 13x 13 = 1183

Therefore, the value for common factors is 1183.

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 = 4694532024/(1x1183)

LCM = 4694532024/1183

LCM = 3968328

Thus, we can understand that the LCM of 13,79,91,69,728 is 3968328.

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

• LCM of 66, 43, 40, 84, 359
• LCM of 82, 83, 26, 98, 456
• LCM of 76, 53, 78, 53, 359
• LCM of 98, 10, 47, 34, 407
• LCM of 76, 67, 81, 25, 891

1. What is the LCM of 13, 79, 91, 69, 728?

Answer: LCM of 13, 79, 91, 69, 728 is 3968328.

2. How to calculate the LCM of 13, 79, 91, 69, 728?

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, 79, 91, 69, 728.

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}.