Given numbers are 788,214,516,271

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

The LCM of 788,214,516,271 is 2947603044.

Find LCM of 788,214,516,271 with Prime Factorization

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

2 x 2 x 197 x 107 x 129 x 271 = 2947603044

Therefore, the lowest common multiple of 788,214,516,271 is 2947603044.

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.

788 x 214 x 516 x 271 = 23580824352

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.

788 : 1, 2, 4, 197, 394, 788

214 : 1, 2, 107, 214

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,214,516,271, is 1.

Now, the common factors can be found like this.

788:2x 2x 197

214:2x 107

516:2x 2x 3x 43

271:271

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 2 = 8

Therefore, the value for common factors is 8.

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 = 23580824352/(1x8)

LCM = 23580824352/8

LCM = 2947603044

Thus, we can understand that the LCM of 788,214,516,271 is 2947603044.

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

• LCM of 293, 313, 620, 750
• LCM of 105, 631, 571, 252
• LCM of 414, 507, 348, 929
• LCM of 685, 746, 481, 421
• LCM of 877, 707, 839, 465

1. What is the LCM of 788, 214, 516, 271?

Answer: LCM of 788, 214, 516, 271 is 2947603044.

2. How to calculate the LCM of 788, 214, 516, 271?

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 788, 214, 516, 271.

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}.