Given numbers are 76,71,22,517

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

The LCM of 76,71,22,517 is 2789732.

Find LCM of 76,71,22,517 with Prime Factorization

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

2 x 11 x 38 x 71 x 1 x 47 = 2789732

Therefore, the lowest common multiple of 76,71,22,517 is 2789732.

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.

76 x 71 x 22 x 517 = 61374104

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.

76 : 1, 2, 4, 19, 38, 76

71 : 1, 71

22 : 1, 2, 11, 22

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 76,71,22,517, is 1.

Now, the common factors can be found like this.

76:2x 2x 19

71:71

22:2x 11

517:11x 47

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 61374104/(1x22)

LCM = 61374104/22

LCM = 2789732

Thus, we can understand that the LCM of 76,71,22,517 is 2789732.

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

• LCM of 15, 76, 84, 712
• LCM of 30, 17, 40, 768
• LCM of 72, 69, 22, 482
• LCM of 35, 36, 87, 992
• LCM of 30, 15, 34, 530

1. What is the LCM of 76, 71, 22, 517?

Answer: LCM of 76, 71, 22, 517 is 2789732.

2. How to calculate the LCM of 76, 71, 22, 517?

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 76, 71, 22, 517.

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}.