Given numbers are 514,596,107,66

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

The LCM of 514,596,107,66 is 540850332.

Find LCM of 514,596,107,66 with Prime Factorization

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

2 x 257 x 298 x 107 x 33 = 540850332

Therefore, the lowest common multiple of 514,596,107,66 is 540850332.

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 596 x 107 x 66 = 2163401328

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

596 : 1, 2, 4, 149, 298, 596

107 : 1, 107

66 : 1, 2, 3, 6, 11, 22, 33, 66

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,596,107,66, is 1.

Now, the common factors can be found like this.

514:2x 257

596:2x 2x 149

107:107

66:2x 3x 11

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 = 2163401328/(1x4)

LCM = 2163401328/4

LCM = 540850332

Thus, we can understand that the LCM of 514,596,107,66 is 540850332.

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

• LCM of 519, 182, 746, 69
• LCM of 184, 276, 184, 99
• LCM of 403, 296, 496, 89
• LCM of 326, 560, 818, 72
• LCM of 625, 721, 722, 20

1. What is the LCM of 514, 596, 107, 66?

Answer: LCM of 514, 596, 107, 66 is 540850332.

2. How to calculate the LCM of 514, 596, 107, 66?

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, 596, 107, 66.

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}.