Given numbers are 68,14,88,39,962

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

The LCM of 68,14,88,39,962 is 15111096.

Find LCM of 68,14,88,39,962 with Prime Factorization

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

2 x 2 x 13 x 17 x 7 x 22 x 3 x 37 = 15111096

Therefore, the lowest common multiple of 68,14,88,39,962 is 15111096.

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.

68 x 14 x 88 x 39 x 962 = 3143107968

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.

68 : 1, 2, 4, 17, 34, 68

14 : 1, 2, 7, 14

88 : 1, 2, 4, 8, 11, 22, 44, 88

39 : 1, 3, 13, 39

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 68,14,88,39,962, is 1.

Now, the common factors can be found like this.

68:2x 2x 17

14:2x 7

88:2x 2x 2x 11

39:3x 13

962:2x 13x 37

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

2x 2x 2x 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 3143107968/(1x208)

LCM = 3143107968/208

LCM = 15111096

Thus, we can understand that the LCM of 68,14,88,39,962 is 15111096.

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

• LCM of 78, 47, 81, 58, 846
• LCM of 30, 42, 74, 58, 774
• LCM of 18, 69, 95, 25, 882
• LCM of 37, 42, 21, 62, 880
• LCM of 17, 28, 22, 26, 640

1. What is the LCM of 68, 14, 88, 39, 962?

Answer: LCM of 68, 14, 88, 39, 962 is 15111096.

2. How to calculate the LCM of 68, 14, 88, 39, 962?

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 68, 14, 88, 39, 962.

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}.