Given numbers are 514,422,646,771

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

The LCM of 514,422,646,771 is 105091926.

Find LCM of 514,422,646,771 with Prime Factorization

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

2 x 257 x 1 x 211 x 323 x 3 = 105091926

Therefore, the lowest common multiple of 514,422,646,771 is 105091926.

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.

514 x 422 x 646 x 771 = 108034499928

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.

514 : 1, 2, 257, 514

422 : 1, 2, 211, 422

646 : 1, 2, 17, 19, 34, 38, 323, 646

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,422,646,771, is 1.

Now, the common factors can be found like this.

514:2x 257

422:2x 211

646:2x 17x 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 257 = 1028

Therefore, the value for common factors is 1028.

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 = 108034499928/(1x1028)

LCM = 108034499928/1028

LCM = 105091926

Thus, we can understand that the LCM of 514,422,646,771 is 105091926.

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

• LCM of 448, 106, 716, 445
• LCM of 462, 238, 792, 600
• LCM of 394, 344, 339, 817
• LCM of 901, 335, 369, 285
• LCM of 729, 873, 795, 848

1. What is the LCM of 514, 422, 646, 771?

Answer: LCM of 514, 422, 646, 771 is 105091926.

2. How to calculate the LCM of 514, 422, 646, 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 514, 422, 646, 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}.