Given numbers are 787,556,214,314

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

The LCM of 787,556,214,314 is 7350772028.

Find LCM of 787,556,214,314 with Prime Factorization

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

2 x 787 x 278 x 107 x 157 = 7350772028

Therefore, the lowest common multiple of 787,556,214,314 is 7350772028.

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.

787 x 556 x 214 x 314 = 29403088112

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.

787 : 1, 787

556 : 1, 2, 4, 139, 278, 556

214 : 1, 2, 107, 214

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,556,214,314, is 1.

Now, the common factors can be found like this.

787:787

556:2x 2x 139

214:2x 107

314:2x 157

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 29403088112/(1x4)

LCM = 29403088112/4

LCM = 7350772028

Thus, we can understand that the LCM of 787,556,214,314 is 7350772028.

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

• LCM of 281, 183, 842, 620
• LCM of 189, 349, 559, 339
• LCM of 860, 421, 341, 954
• LCM of 228, 841, 764, 632
• LCM of 800, 380, 233, 165

1. What is the LCM of 787, 556, 214, 314?

Answer: LCM of 787, 556, 214, 314 is 7350772028.

2. How to calculate the LCM of 787, 556, 214, 314?

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 787, 556, 214, 314.

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}.