Given numbers are 87,71,62,71,706

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

The LCM of 87,71,62,71,706 is 135189822.

Find LCM of 87,71,62,71,706 with Prime Factorization

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

2 x 71 x 87 x 1 x 31 x 1 x 353 = 135189822

Therefore, the lowest common multiple of 87,71,62,71,706 is 135189822.

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.

87 x 71 x 62 x 71 x 706 = 19196954724

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.

87 : 1, 3, 29, 87

71 : 1, 71

62 : 1, 2, 31, 62

71 : 1, 71

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 87,71,62,71,706, is 1.

Now, the common factors can be found like this.

87:3x 29

71:71

62:2x 31

71:71

706:2x 353

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 19196954724/(1x142)

LCM = 19196954724/142

LCM = 135189822

Thus, we can understand that the LCM of 87,71,62,71,706 is 135189822.

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

• LCM of 94, 90, 54, 92, 683
• LCM of 35, 11, 10, 19, 630
• LCM of 27, 85, 81, 70, 975
• LCM of 99, 96, 29, 72, 366
• LCM of 41, 67, 78, 83, 426

1. What is the LCM of 87, 71, 62, 71, 706?

Answer: LCM of 87, 71, 62, 71, 706 is 135189822.

2. How to calculate the LCM of 87, 71, 62, 71, 706?

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 87, 71, 62, 71, 706.

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}.