Given numbers are 76,14,19,38,771

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

The LCM of 76,14,19,38,771 is 410172.

Find LCM of 76,14,19,38,771 with Prime Factorization

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

2 x 19 x 2 x 7 x 1 x 1 x 771 = 410172

Therefore, the lowest common multiple of 76,14,19,38,771 is 410172.

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 14 x 19 x 38 x 771 = 592288368

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

14 : 1, 2, 7, 14

19 : 1, 19

38 : 1, 2, 19, 38

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 76,14,19,38,771, is 1.

Now, the common factors can be found like this.

76:2x 2x 19

14:2x 7

19:19

38:2x 19

771:3x 257

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 19x 19 = 1444

Therefore, the value for common factors is 1444.

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 = 592288368/(1x1444)

LCM = 592288368/1444

LCM = 410172

Thus, we can understand that the LCM of 76,14,19,38,771 is 410172.

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

• LCM of 39, 84, 27, 40, 205
• LCM of 27, 61, 80, 89, 748
• LCM of 48, 74, 90, 47, 995
• LCM of 35, 80, 60, 33, 181
• LCM of 61, 74, 34, 87, 576

1. What is the LCM of 76, 14, 19, 38, 771?

Answer: LCM of 76, 14, 19, 38, 771 is 410172.

2. How to calculate the LCM of 76, 14, 19, 38, 771?

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, 14, 19, 38, 771.

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}.