Given numbers are 788,322,276,390,514

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

The LCM of 788,322,276,390,514 is 6357989820.

Find LCM of 788,322,276,390,514 with Prime Factorization

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

2 x 2 x 3 x 23 x 197 x 7 x 1 x 65 x 257 = 6357989820

Therefore, the lowest common multiple of 788,322,276,390,514 is 6357989820.

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 322 x 276 x 390 x 514 = 14038441522560

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

322 : 1, 2, 7, 14, 23, 46, 161, 322

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,322,276,390,514, is 2.

Now, the common factors can be found like this.

788:2x 2x 197

322:2x 7x 23

276:2x 2x 3x 23

390:2x 3x 5x 13

514:2x 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 2x 2x 3x 23 = 1104

Therefore, the value for common factors is 1104.

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 = 14038441522560/(2x1104)

LCM = 14038441522560/2208

LCM = 6357989820

Thus, we can understand that the LCM of 788,322,276,390,514 is 6357989820.

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

• LCM of 400, 179, 830, 479, 790
• LCM of 334, 736, 314, 688, 740
• LCM of 659, 795, 960, 295, 479
• LCM of 293, 392, 293, 231, 172
• LCM of 639, 312, 111, 302, 499

1. What is the LCM of 788, 322, 276, 390, 514?

Answer: LCM of 788, 322, 276, 390, 514 is 6357989820.

2. How to calculate the LCM of 788, 322, 276, 390, 514?

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, 322, 276, 390, 514.

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}.